{"id":133368,"date":"2024-08-22T20:35:04","date_gmt":"2024-08-22T20:35:04","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=133368"},"modified":"2024-08-22T20:35:07","modified_gmt":"2024-08-22T20:35:07","slug":"which-of-the-following-is-the-value-of-x-in-the-equation-below-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/08\/22\/which-of-the-following-is-the-value-of-x-in-the-equation-below-2\/","title":{"rendered":"Which of the following is the value of x in the equation below"},"content":{"rendered":"\n<p>Which of the following is the value of x in the equation below.<\/p>\n\n\n\n<p>(|2x &#8211; 4| &#8211; 10 = 2)<\/p>\n\n\n\n<p>A.<br>x=4 or x=-8<\/p>\n\n\n\n<p>B.<br>x=-4 or x=8<\/p>\n\n\n\n<p>C.<br>x=-2 or x=1<\/p>\n\n\n\n<p>D.<br>x=-3 or x=5<\/p>\n\n\n\n<p>To solve the equation \u22232x\u22124\u2223\u221210=2|2x &#8211; 4| &#8211; 10 = 2\u22232x\u22124\u2223\u221210=2, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Isolate the Absolute Value<\/strong>:\u22232x\u22124\u2223\u221210=2|2x &#8211; 4| &#8211; 10 = 2\u22232x\u22124\u2223\u221210=2Add 10 to both sides:\u22232x\u22124\u2223=12|2x &#8211; 4| = 12\u22232x\u22124\u2223=12<\/li>\n\n\n\n<li><strong>Solve the Absolute Value Equation<\/strong>: The equation \u22232x\u22124\u2223=12|2x &#8211; 4| = 12\u22232x\u22124\u2223=12 means that:2x\u22124=12or2x\u22124=\u2212122x &#8211; 4 = 12 \\quad \\text{or} \\quad 2x &#8211; 4 = -122x\u22124=12or2x\u22124=\u221212<strong>For 2x\u22124=122x &#8211; 4 = 122x\u22124=12<\/strong>:2x\u22124=122x &#8211; 4 = 122x\u22124=12Add 4 to both sides:2x=162x = 162x=16Divide by 2:x=8x = 8x=8<strong>For 2x\u22124=\u2212122x &#8211; 4 = -122x\u22124=\u221212<\/strong>:2x\u22124=\u2212122x &#8211; 4 = -122x\u22124=\u221212Add 4 to both sides:2x=\u221282x = -82x=\u22128Divide by 2:x=\u22124x = -4x=\u22124<\/li>\n\n\n\n<li><strong>Conclusion<\/strong>: The values of xxx are x=8x = 8x=8 and x=\u22124x = -4x=\u22124.<\/li>\n<\/ol>\n\n\n\n<p>Thus, the correct answer is <strong>B. x = -4 or x = 8<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following is the value of x in the equation below. (|2x &#8211; 4| &#8211; 10 = 2) A.x=4 or x=-8 B.x=-4 or x=8 C.x=-2 or x=1 D.x=-3 or x=5 To solve the equation \u22232x\u22124\u2223\u221210=2|2x &#8211; 4| &#8211; 10 = 2\u22232x\u22124\u2223\u221210=2, follow these steps: Thus, the correct answer is B. x = -4 [&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-133368","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133368","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=133368"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133368\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=133368"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=133368"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=133368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}