{"id":246004,"date":"2025-07-06T17:15:25","date_gmt":"2025-07-06T17:15:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=246004"},"modified":"2025-07-06T17:15:27","modified_gmt":"2025-07-06T17:15:27","slug":"select-all-coordinate-pairs-that-are-solutions-to-the-inequality","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/06\/select-all-coordinate-pairs-that-are-solutions-to-the-inequality\/","title":{"rendered":"Select all coordinate pairs that are solutions to the inequality"},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The inequality given is 5x+9y<455x + 9y < 455x+9y<45, and we are asked to determine which coordinate pairs satisfy this inequality.<\/p>\n\n\n\n

Let’s test each of the coordinate pairs provided in the options:<\/p>\n\n\n\n

    \n
  1. A: (0, 0)<\/strong>
    Substitute x=0x = 0x=0 and y=0y = 0y=0 into the inequality: 5(0)+9(0)=0<455(0) + 9(0) = 0 < 455(0)+9(0)=0<45 This is true. Therefore, (0,0)(0, 0)(0,0) is a solution.<\/li>\n\n\n\n
  2. B: (5, 0)<\/strong>
    Substitute x=5x = 5x=5 and y=0y = 0y=0 into the inequality: 5(5)+9(0)=25<455(5) + 9(0) = 25 < 455(5)+9(0)=25<45 This is true. Therefore, (5,0)(5, 0)(5,0) is a solution.<\/li>\n\n\n\n
  3. C: (9, 0)<\/strong>
    Substitute x=9x = 9x=9 and y=0y = 0y=0 into the inequality: 5(9)+9(0)=45<\u0338455(9) + 9(0) = 45 \\not< 455(9)+9(0)=45\ue020<45 This is false. Therefore, (9,0)(9, 0)(9,0) is not<\/strong> a solution.<\/li>\n\n\n\n
  4. D: (0, 5)<\/strong>
    Substitute x=0x = 0x=0 and y=5y = 5y=5 into the inequality: 5(0)+9(5)=45<\u0338455(0) + 9(5) = 45 \\not< 455(0)+9(5)=45\ue020<45 This is false. Therefore, (0,5)(0, 5)(0,5) is not<\/strong> a solution.<\/li>\n\n\n\n
  5. E: (0, 9)<\/strong>
    Substitute x=0x = 0x=0 and y=9y = 9y=9 into the inequality: 5(0)+9(9)=81<\u0338455(0) + 9(9) = 81 \\not< 455(0)+9(9)=81\ue020<45 This is false. Therefore, (0,9)(0, 9)(0,9) is not<\/strong> a solution.<\/li>\n\n\n\n
  6. F: (5, 9)<\/strong>
    Substitute x=5x = 5x=5 and y=9y = 9y=9 into the inequality: 5(5)+9(9)=25+81=106<\u0338455(5) + 9(9) = 25 + 81 = 106 \\not< 455(5)+9(9)=25+81=106\ue020<45 This is false. Therefore, (5,9)(5, 9)(5,9) is not<\/strong> a solution.<\/li>\n\n\n\n
  7. G: (-5, -9)<\/strong>
    Substitute x=\u22125x = -5x=\u22125 and y=\u22129y = -9y=\u22129 into the inequality: 5(\u22125)+9(\u22129)=\u221225\u221281=\u2212106<455(-5) + 9(-9) = -25 – 81 = -106 < 455(\u22125)+9(\u22129)=\u221225\u221281=\u2212106<45 This is true. Therefore, (\u22125,\u22129)(-5, -9)(\u22125,\u22129) is a solution.<\/li>\n<\/ol>\n\n\n\n

    Conclusion:<\/h3>\n\n\n\n

    The coordinate pairs that satisfy the inequality 5x+9y<455x + 9y < 455x+9y<45 are:<\/p>\n\n\n\n

      \n
    • A: (0, 0)<\/strong><\/li>\n\n\n\n
    • B: (5, 0)<\/strong><\/li>\n\n\n\n
    • G: (-5, -9)<\/strong><\/li>\n<\/ul>\n\n\n\n
      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      The Correct Answer and Explanation is: The inequality given is 5x+9y<455x + 9y < 455x+9y<45, and we are asked to determine which coordinate pairs satisfy this inequality. Let’s test each of the coordinate pairs provided in the options: Conclusion: The coordinate pairs that satisfy the inequality 5x+9y<455x + 9y < 455x+9y<45 are:<\/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-246004","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246004","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=246004"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246004\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246004"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246004"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246004"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}