To solve inequalities graphically using a graphing calculator, follow these steps:<\/p>\n\n\n\n
1. Enter the Inequality Function<\/strong>:<\/h3>\n\n\n\n\n- You need to input the inequality as a function. For example, if your inequality is x2\u22124x+3\u22650x^2 – 4x + 3 \\geq 0x2\u22124x+3\u22650, you would first enter f(x)=x2\u22124x+3f(x) = x^2 – 4x + 3f(x)=x2\u22124x+3 into the graphing calculator.<\/li>\n<\/ul>\n\n\n\n
2. Graph the Function<\/strong>:<\/h3>\n\n\n\n\n- After entering the function, press the “Graph” button. The graph will display the function on the coordinate plane.<\/li>\n<\/ul>\n\n\n\n
3. Analyze the Graph<\/strong>:<\/h3>\n\n\n\n\n- Look for the points where the function is greater than or equal to 0 (if solving a “greater than or equal to” inequality), or less than or equal to 0 (if solving a “less than or equal to” inequality).<\/li>\n\n\n\n
- For a quadratic like x2\u22124x+3x^2 – 4x + 3×2\u22124x+3, you’d look for where the graph intersects the x-axis, as the x-values where the graph is above or below the x-axis correspond to the solution set.<\/li>\n<\/ul>\n\n\n\n
4. Use the Calculator\u2019s “Trace” or “Intersection” Feature<\/strong>:<\/h3>\n\n\n\n\n- Most graphing calculators have a feature that allows you to trace along the graph or find intersections. This helps you locate where the function crosses the x-axis.<\/li>\n\n\n\n
- If solving f(x)\u22650f(x) \\geq 0f(x)\u22650, locate the x-values where the graph is above the x-axis (or on it, if it touches the x-axis).<\/li>\n\n\n\n
- If solving f(x)\u22640f(x) \\leq 0f(x)\u22640, locate where the graph is below the x-axis.<\/li>\n<\/ul>\n\n\n\n
5. Find the Solution Set<\/strong>:<\/h3>\n\n\n\n\n- Based on the graph and where the inequality holds true (whether above or below the x-axis), write the solution set in interval notation.<\/li>\n\n\n\n
- For example, if the solution to x2\u22124x+3\u22650x^2 – 4x + 3 \\geq 0x2\u22124x+3\u22650 is (\u2212\u221e,1]\u222a[3,\u221e)(-\\infty, 1] \\cup [3, \\infty)(\u2212\u221e,1]\u222a[3,\u221e), the function is greater than or equal to 0 from x=\u2212\u221ex = -\\inftyx=\u2212\u221e to x=1x = 1x=1, and from x=3x = 3x=3 to \u221e\\infty\u221e.<\/li>\n<\/ul>\n\n\n\n
Example:<\/h3>\n\n\n\n
If you have the inequality 2x+3<02x + 3 < 02x+3<0, you would:<\/p>\n\n\n\n
\n- Graph y=2x+3y = 2x + 3y=2x+3.<\/li>\n\n\n\n
- Look for where the graph is less than 0 (where it\u2019s below the x-axis).<\/li>\n\n\n\n
- Find the x-value of the intersection point, which is x=\u221232x = -\\frac{3}{2}x=\u221223\u200b.<\/li>\n\n\n\n
- The solution in interval notation is (\u2212\u221e,\u221232)(-\\infty, -\\frac{3}{2})(\u2212\u221e,\u221223\u200b).<\/li>\n<\/ul>\n\n\n\n
In summary, the graphing calculator helps you visualize the function’s behavior and find where the inequality holds true. After graphing, you can translate that into the solution set in interval notation.<\/p>\n\n\n\n![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-400.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"Use a graphing calculator to solve each inequality. Write the solution set in interval notation. See Using Your Calculator: Solving Inequalities Graphically The Correct Answer and Explanation is: To solve inequalities graphically using a graphing calculator, follow these steps: 1. Enter the Inequality Function: 2. Graph the Function: 3. Analyze the Graph: 4. Use the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-244192","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=244192"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244192\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
2. Graph the Function<\/strong>:<\/h3>\n\n\n\n\n- After entering the function, press the “Graph” button. The graph will display the function on the coordinate plane.<\/li>\n<\/ul>\n\n\n\n
3. Analyze the Graph<\/strong>:<\/h3>\n\n\n\n\n- Look for the points where the function is greater than or equal to 0 (if solving a “greater than or equal to” inequality), or less than or equal to 0 (if solving a “less than or equal to” inequality).<\/li>\n\n\n\n
- For a quadratic like x2\u22124x+3x^2 – 4x + 3×2\u22124x+3, you’d look for where the graph intersects the x-axis, as the x-values where the graph is above or below the x-axis correspond to the solution set.<\/li>\n<\/ul>\n\n\n\n
4. Use the Calculator\u2019s “Trace” or “Intersection” Feature<\/strong>:<\/h3>\n\n\n\n\n- Most graphing calculators have a feature that allows you to trace along the graph or find intersections. This helps you locate where the function crosses the x-axis.<\/li>\n\n\n\n
- If solving f(x)\u22650f(x) \\geq 0f(x)\u22650, locate the x-values where the graph is above the x-axis (or on it, if it touches the x-axis).<\/li>\n\n\n\n
- If solving f(x)\u22640f(x) \\leq 0f(x)\u22640, locate where the graph is below the x-axis.<\/li>\n<\/ul>\n\n\n\n
5. Find the Solution Set<\/strong>:<\/h3>\n\n\n\n\n- Based on the graph and where the inequality holds true (whether above or below the x-axis), write the solution set in interval notation.<\/li>\n\n\n\n
- For example, if the solution to x2\u22124x+3\u22650x^2 – 4x + 3 \\geq 0x2\u22124x+3\u22650 is (\u2212\u221e,1]\u222a[3,\u221e)(-\\infty, 1] \\cup [3, \\infty)(\u2212\u221e,1]\u222a[3,\u221e), the function is greater than or equal to 0 from x=\u2212\u221ex = -\\inftyx=\u2212\u221e to x=1x = 1x=1, and from x=3x = 3x=3 to \u221e\\infty\u221e.<\/li>\n<\/ul>\n\n\n\n
Example:<\/h3>\n\n\n\n
If you have the inequality 2x+3<02x + 3 < 02x+3<0, you would:<\/p>\n\n\n\n
\n- Graph y=2x+3y = 2x + 3y=2x+3.<\/li>\n\n\n\n
- Look for where the graph is less than 0 (where it\u2019s below the x-axis).<\/li>\n\n\n\n
- Find the x-value of the intersection point, which is x=\u221232x = -\\frac{3}{2}x=\u221223\u200b.<\/li>\n\n\n\n
- The solution in interval notation is (\u2212\u221e,\u221232)(-\\infty, -\\frac{3}{2})(\u2212\u221e,\u221223\u200b).<\/li>\n<\/ul>\n\n\n\n
In summary, the graphing calculator helps you visualize the function’s behavior and find where the inequality holds true. After graphing, you can translate that into the solution set in interval notation.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"Use a graphing calculator to solve each inequality. Write the solution set in interval notation. See Using Your Calculator: Solving Inequalities Graphically The Correct Answer and Explanation is: To solve inequalities graphically using a graphing calculator, follow these steps: 1. Enter the Inequality Function: 2. Graph the Function: 3. Analyze the Graph: 4. Use the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-244192","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=244192"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244192\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
3. Analyze the Graph<\/strong>:<\/h3>\n\n\n\n\n- Look for the points where the function is greater than or equal to 0 (if solving a “greater than or equal to” inequality), or less than or equal to 0 (if solving a “less than or equal to” inequality).<\/li>\n\n\n\n
- For a quadratic like x2\u22124x+3x^2 – 4x + 3×2\u22124x+3, you’d look for where the graph intersects the x-axis, as the x-values where the graph is above or below the x-axis correspond to the solution set.<\/li>\n<\/ul>\n\n\n\n
4. Use the Calculator\u2019s “Trace” or “Intersection” Feature<\/strong>:<\/h3>\n\n\n\n\n- Most graphing calculators have a feature that allows you to trace along the graph or find intersections. This helps you locate where the function crosses the x-axis.<\/li>\n\n\n\n
- If solving f(x)\u22650f(x) \\geq 0f(x)\u22650, locate the x-values where the graph is above the x-axis (or on it, if it touches the x-axis).<\/li>\n\n\n\n
- If solving f(x)\u22640f(x) \\leq 0f(x)\u22640, locate where the graph is below the x-axis.<\/li>\n<\/ul>\n\n\n\n
5. Find the Solution Set<\/strong>:<\/h3>\n\n\n\n\n- Based on the graph and where the inequality holds true (whether above or below the x-axis), write the solution set in interval notation.<\/li>\n\n\n\n
- For example, if the solution to x2\u22124x+3\u22650x^2 – 4x + 3 \\geq 0x2\u22124x+3\u22650 is (\u2212\u221e,1]\u222a[3,\u221e)(-\\infty, 1] \\cup [3, \\infty)(\u2212\u221e,1]\u222a[3,\u221e), the function is greater than or equal to 0 from x=\u2212\u221ex = -\\inftyx=\u2212\u221e to x=1x = 1x=1, and from x=3x = 3x=3 to \u221e\\infty\u221e.<\/li>\n<\/ul>\n\n\n\n
Example:<\/h3>\n\n\n\n
If you have the inequality 2x+3<02x + 3 < 02x+3<0, you would:<\/p>\n\n\n\n
\n- Graph y=2x+3y = 2x + 3y=2x+3.<\/li>\n\n\n\n
- Look for where the graph is less than 0 (where it\u2019s below the x-axis).<\/li>\n\n\n\n
- Find the x-value of the intersection point, which is x=\u221232x = -\\frac{3}{2}x=\u221223\u200b.<\/li>\n\n\n\n
- The solution in interval notation is (\u2212\u221e,\u221232)(-\\infty, -\\frac{3}{2})(\u2212\u221e,\u221223\u200b).<\/li>\n<\/ul>\n\n\n\n
In summary, the graphing calculator helps you visualize the function’s behavior and find where the inequality holds true. After graphing, you can translate that into the solution set in interval notation.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"Use a graphing calculator to solve each inequality. Write the solution set in interval notation. See Using Your Calculator: Solving Inequalities Graphically The Correct Answer and Explanation is: To solve inequalities graphically using a graphing calculator, follow these steps: 1. Enter the Inequality Function: 2. Graph the Function: 3. Analyze the Graph: 4. Use the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-244192","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=244192"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244192\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
4. Use the Calculator\u2019s “Trace” or “Intersection” Feature<\/strong>:<\/h3>\n\n\n\n\n- Most graphing calculators have a feature that allows you to trace along the graph or find intersections. This helps you locate where the function crosses the x-axis.<\/li>\n\n\n\n
- If solving f(x)\u22650f(x) \\geq 0f(x)\u22650, locate the x-values where the graph is above the x-axis (or on it, if it touches the x-axis).<\/li>\n\n\n\n
- If solving f(x)\u22640f(x) \\leq 0f(x)\u22640, locate where the graph is below the x-axis.<\/li>\n<\/ul>\n\n\n\n
5. Find the Solution Set<\/strong>:<\/h3>\n\n\n\n\n- Based on the graph and where the inequality holds true (whether above or below the x-axis), write the solution set in interval notation.<\/li>\n\n\n\n
- For example, if the solution to x2\u22124x+3\u22650x^2 – 4x + 3 \\geq 0x2\u22124x+3\u22650 is (\u2212\u221e,1]\u222a[3,\u221e)(-\\infty, 1] \\cup [3, \\infty)(\u2212\u221e,1]\u222a[3,\u221e), the function is greater than or equal to 0 from x=\u2212\u221ex = -\\inftyx=\u2212\u221e to x=1x = 1x=1, and from x=3x = 3x=3 to \u221e\\infty\u221e.<\/li>\n<\/ul>\n\n\n\n
Example:<\/h3>\n\n\n\n
If you have the inequality 2x+3<02x + 3 < 02x+3<0, you would:<\/p>\n\n\n\n
\n- Graph y=2x+3y = 2x + 3y=2x+3.<\/li>\n\n\n\n
- Look for where the graph is less than 0 (where it\u2019s below the x-axis).<\/li>\n\n\n\n
- Find the x-value of the intersection point, which is x=\u221232x = -\\frac{3}{2}x=\u221223\u200b.<\/li>\n\n\n\n
- The solution in interval notation is (\u2212\u221e,\u221232)(-\\infty, -\\frac{3}{2})(\u2212\u221e,\u221223\u200b).<\/li>\n<\/ul>\n\n\n\n
In summary, the graphing calculator helps you visualize the function’s behavior and find where the inequality holds true. After graphing, you can translate that into the solution set in interval notation.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"Use a graphing calculator to solve each inequality. Write the solution set in interval notation. See Using Your Calculator: Solving Inequalities Graphically The Correct Answer and Explanation is: To solve inequalities graphically using a graphing calculator, follow these steps: 1. Enter the Inequality Function: 2. Graph the Function: 3. Analyze the Graph: 4. Use the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-244192","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=244192"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244192\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
5. Find the Solution Set<\/strong>:<\/h3>\n\n\n\n\n- Based on the graph and where the inequality holds true (whether above or below the x-axis), write the solution set in interval notation.<\/li>\n\n\n\n
- For example, if the solution to x2\u22124x+3\u22650x^2 – 4x + 3 \\geq 0x2\u22124x+3\u22650 is (\u2212\u221e,1]\u222a[3,\u221e)(-\\infty, 1] \\cup [3, \\infty)(\u2212\u221e,1]\u222a[3,\u221e), the function is greater than or equal to 0 from x=\u2212\u221ex = -\\inftyx=\u2212\u221e to x=1x = 1x=1, and from x=3x = 3x=3 to \u221e\\infty\u221e.<\/li>\n<\/ul>\n\n\n\n
Example:<\/h3>\n\n\n\n
If you have the inequality 2x+3<02x + 3 < 02x+3<0, you would:<\/p>\n\n\n\n
\n- Graph y=2x+3y = 2x + 3y=2x+3.<\/li>\n\n\n\n
- Look for where the graph is less than 0 (where it\u2019s below the x-axis).<\/li>\n\n\n\n
- Find the x-value of the intersection point, which is x=\u221232x = -\\frac{3}{2}x=\u221223\u200b.<\/li>\n\n\n\n
- The solution in interval notation is (\u2212\u221e,\u221232)(-\\infty, -\\frac{3}{2})(\u2212\u221e,\u221223\u200b).<\/li>\n<\/ul>\n\n\n\n
In summary, the graphing calculator helps you visualize the function’s behavior and find where the inequality holds true. After graphing, you can translate that into the solution set in interval notation.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"Use a graphing calculator to solve each inequality. Write the solution set in interval notation. See Using Your Calculator: Solving Inequalities Graphically The Correct Answer and Explanation is: To solve inequalities graphically using a graphing calculator, follow these steps: 1. Enter the Inequality Function: 2. Graph the Function: 3. Analyze the Graph: 4. Use the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-244192","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=244192"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244192\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Example:<\/h3>\n\n\n\n
If you have the inequality 2x+3<02x + 3 < 02x+3<0, you would:<\/p>\n\n\n\n
- \n
- Graph y=2x+3y = 2x + 3y=2x+3.<\/li>\n\n\n\n
- Look for where the graph is less than 0 (where it\u2019s below the x-axis).<\/li>\n\n\n\n
- Find the x-value of the intersection point, which is x=\u221232x = -\\frac{3}{2}x=\u221223\u200b.<\/li>\n\n\n\n
- The solution in interval notation is (\u2212\u221e,\u221232)(-\\infty, -\\frac{3}{2})(\u2212\u221e,\u221223\u200b).<\/li>\n<\/ul>\n\n\n\n
In summary, the graphing calculator helps you visualize the function’s behavior and find where the inequality holds true. After graphing, you can translate that into the solution set in interval notation.<\/p>\n\n\n\n
<\/figure>\n","protected":false},"excerpt":{"rendered":"Use a graphing calculator to solve each inequality. Write the solution set in interval notation. See Using Your Calculator: Solving Inequalities Graphically The Correct Answer and Explanation is: To solve inequalities graphically using a graphing calculator, follow these steps: 1. Enter the Inequality Function: 2. Graph the Function: 3. Analyze the Graph: 4. Use the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-244192","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=244192"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244192\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}