{"id":246070,"date":"2025-07-06T18:13:43","date_gmt":"2025-07-06T18:13:43","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=246070"},"modified":"2025-07-06T18:13:45","modified_gmt":"2025-07-06T18:13:45","slug":"select-all-coordinate-pairs-that-are-solutions-to-the-inequality-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/06\/select-all-coordinate-pairs-that-are-solutions-to-the-inequality-2\/","title":{"rendered":"Select all coordinate pairs that are solutions to the inequality"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-245.png\" alt=\"\" class=\"wp-image-246071\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct coordinate pairs that are solutions to the inequality are:<br>A (0, 0)<br>B (5, 0)<br>G (-5, -9)<\/p>\n\n\n\n<p>To determine which coordinate pairs are solutions to the inequality 5x + 9y &lt; 45, we must substitute the x and y values from each given pair into the inequality. If the resulting mathematical statement is true, the coordinate pair is a solution. The problem requires us to find all pairs that satisfy this condition.<\/p>\n\n\n\n<p>Let&#8217;s test each option systematically:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A (0, 0):<\/strong>\u00a0We substitute x = 0 and y = 0.<br>5(0) + 9(0) &lt; 45<br>0 + 0 &lt; 45<br>0 &lt; 45. This statement is true, so (0, 0) is a solution.<\/li>\n\n\n\n<li><strong>B (5, 0):<\/strong>\u00a0We substitute x = 5 and y = 0.<br>5(5) + 9(0) &lt; 45<br>25 + 0 &lt; 45<br>25 &lt; 45. This statement is true, so (5, 0) is a solution.<\/li>\n\n\n\n<li><strong>C (9, 0):<\/strong>\u00a0We substitute x = 9 and y = 0.<br>5(9) + 9(0) &lt; 45<br>45 + 0 &lt; 45<br>45 &lt; 45. This statement is false. 45 is equal to 45, not strictly less than it. Thus, (9, 0) is not a solution.<\/li>\n\n\n\n<li><strong>D (0, 5):<\/strong>\u00a0We substitute x = 0 and y = 5.<br>5(0) + 9(5) &lt; 45<br>0 + 45 &lt; 45<br>45 &lt; 45. This statement is also false for the same reason as option C. Thus, (0, 5) is not a solution.<\/li>\n\n\n\n<li><strong>E (0, 9):<\/strong>\u00a0We substitute x = 0 and y = 9.<br>5(0) + 9(9) &lt; 45<br>0 + 81 &lt; 45<br>81 &lt; 45. This statement is false.<\/li>\n\n\n\n<li><strong>F (5, 9):<\/strong>\u00a0We substitute x = 5 and y = 9.<br>5(5) + 9(9) &lt; 45<br>25 + 81 &lt; 45<br>106 &lt; 45. This statement is false.<\/li>\n\n\n\n<li><strong>G (-5, -9):<\/strong>\u00a0We substitute x = -5 and y = -9.<br>5(-5) + 9(-9) &lt; 45<br>-25 &#8211; 81 &lt; 45<br>-106 &lt; 45. This statement is true. A negative number is always less than a positive number. Therefore, (-5, -9) is a solution.<\/li>\n<\/ul>\n\n\n\n<p>After checking all the options, we find that the coordinate pairs (0, 0), (5, 0), and (-5, -9) are the only ones that make the inequality true<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-781.jpeg\" alt=\"\" class=\"wp-image-246072\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct coordinate pairs that are solutions to the inequality are:A (0, 0)B (5, 0)G (-5, -9) To determine which coordinate pairs are solutions to the inequality 5x + 9y &lt; 45, we must substitute the x and y values from each given pair into the inequality. If the [&hellip;]<\/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-246070","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246070","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=246070"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246070\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246070"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246070"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246070"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}