{"id":277814,"date":"2025-08-01T15:30:02","date_gmt":"2025-08-01T15:30:02","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=277814"},"modified":"2025-08-01T15:30:05","modified_gmt":"2025-08-01T15:30:05","slug":"which-of-these-is-an-example-of-a-composite-material","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/01\/which-of-these-is-an-example-of-a-composite-material\/","title":{"rendered":"Which of these is an example of a composite material"},"content":{"rendered":"\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/p16-ehi-sg.gauthstatic.com\/tos-alisg-i-6e3a8cj6on-sg\/ef101b92b0574413a1730cf0054d4f43~tplv-6e3a8cj6on-avif-scale:600:120.avif\" alt=\"MYCAUNJ \u00d7 CareLogic stratustime \napp.sophia.org\/spcc\/college-algebra-3-challenge-3-2\/6\/8707\/introduction- \nUNIT 3 \u2014 CHALLENGE 2: Systems of Equa \nConsider the following system of linear inequalities and corresponding graph:\ny\u2265 x+1\nx&gt;-6\ny\u2264 4\n20\n26\n170\/19 \n27 \nEsc F4, F5 \nF\"\/><\/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 answer is C.<\/p>\n\n\n\n<p>The question requires identifying which of the given points is a solution to the system of inequalities represented on the graph. The solution set for a system of inequalities is the common shaded region, which is the yellow triangular area in this case. A point is considered a solution if it lies within this shaded region. To verify this mathematically, we must first determine the inequalities that define the boundaries of the region.<\/p>\n\n\n\n<p>The yellow area is bounded by three lines:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>A red dashed line with a negative slope. This line passes through the y-intercept at (0, 10) and the x-intercept at (10, 0). The equation for this line is y = -x + 10. Since the line is dashed, the points on the line are not part of the solution. The shading is below the line, so the corresponding inequality is\u00a0<strong>y &lt; -x + 10<\/strong>.<\/li>\n\n\n\n<li>A green dashed vertical line. This line is located at x = 2. The shaded region is to the right of this line, which indicates values of x that are greater than 2. As the line is dashed, the inequality is strict:\u00a0<strong>x > 2<\/strong>.<\/li>\n\n\n\n<li>The x-axis (where y = 0). The shaded region is above the x-axis, meaning all y-values in the solution set must be positive. This gives us the third inequality:\u00a0<strong>y > 0<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>Now, we test the coordinates of Point C (4, 1) against this system of three inequalities:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Is x > 2? Substituting x = 4, we get 4 > 2, which is true.<\/li>\n\n\n\n<li>Is y > 0? Substituting y = 1, we get 1 > 0, which is true.<\/li>\n\n\n\n<li>Is y &lt; -x + 10? Substituting x = 4 and y = 1, we get 1 &lt; -4 + 10, which simplifies to 1 &lt; 6. This is also true.<\/li>\n<\/ul>\n\n\n\n<p>Since Point C (4, 1) satisfies all three conditions, it is a solution to the system. Other points like B (8, 4) and D (1, 5) are not solutions because they fail to meet all the conditions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/learnexams-banner4-7.jpeg\" alt=\"\" class=\"wp-image-277815\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The correct answer and explanation is: The correct answer is C. The question requires identifying which of the given points is a solution to the system of inequalities represented on the graph. The solution set for a system of inequalities is the common shaded region, which is the yellow triangular area in this case. A [&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-277814","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/277814","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=277814"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/277814\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=277814"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=277814"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=277814"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}