Which ordered pair makes both inequalities true? y < 3x \u2013 1 y > \u2013x + 4
(4,0) (1,2) (0,4) (2,1)<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To solve the given system of inequalities, we need to check which ordered pair satisfies both inequalities:<\/p>\n\n\n\n Let\u2019s go through each ordered pair and check if it satisfies both inequalities.<\/p>\n\n\n\n Substitute ( x = 4 ) and ( y = 0 ) into both inequalities:<\/p>\n\n\n\n So, (4, 0) does not<\/strong> satisfy both inequalities.<\/p>\n\n\n\n Substitute ( x = 1 ) and ( y = 2 ) into both inequalities:<\/p>\n\n\n\n Since the first inequality is not satisfied, we don\u2019t need to check the second inequality. Therefore, (1, 2) does not<\/strong> satisfy both inequalities.<\/p>\n\n\n\n Substitute ( x = 0 ) and ( y = 4 ) into both inequalities:<\/p>\n\n\n\n Since the first inequality is not satisfied, (0, 4) does not<\/strong> satisfy both inequalities.<\/p>\n\n\n\n Substitute ( x = 2 ) and ( y = 1 ) into both inequalities:<\/p>\n\n\n\n Thus, (2, 1) does not<\/strong> satisfy both inequalities.<\/p>\n\n\n\n None of the ordered pairs satisfy both inequalities.<\/p>\n","protected":false},"excerpt":{"rendered":" Which ordered pair makes both inequalities true? y < 3x \u2013 1 y > \u2013x + 4(4,0) (1,2) (0,4) (2,1) The Correct Answer and Explanation is: To solve the given system of inequalities, we need to check which ordered pair satisfies both inequalities: Step 1: Check each ordered pair Let\u2019s go through each ordered pair […]<\/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-167148","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167148","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=167148"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167148\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167148"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167148"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
Step 1: Check each ordered pair<\/h3>\n\n\n\n
Ordered Pair (4, 0):<\/h4>\n\n\n\n
\n
( 0 < 3(4) – 1 )
( 0 < 12 – 1 )
( 0 < 11 )
This is true.<\/li>\n\n\n\n
( 0 > -(4) + 4 )
( 0 > -4 + 4 )
( 0 > 0 )
This is false.<\/li>\n<\/ol>\n\n\n\nOrdered Pair (1, 2):<\/h4>\n\n\n\n
\n
( 2 < 3(1) – 1 )
( 2 < 3 – 1 )
( 2 < 2 )
This is false.<\/li>\n<\/ol>\n\n\n\nOrdered Pair (0, 4):<\/h4>\n\n\n\n
\n
( 4 < 3(0) – 1 )
( 4 < 0 – 1 )
( 4 < -1 )
This is false.<\/li>\n<\/ol>\n\n\n\nOrdered Pair (2, 1):<\/h4>\n\n\n\n
\n
( 1 < 3(2) – 1 )
( 1 < 6 – 1 )
( 1 < 5 )
This is true.<\/li>\n\n\n\n
( 1 > -(2) + 4 )
( 1 > -2 + 4 )
( 1 > 2 )
This is false.<\/li>\n<\/ol>\n\n\n\nConclusion:<\/h3>\n\n\n\n