{"id":149886,"date":"2024-10-08T04:43:11","date_gmt":"2024-10-08T04:43:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149886"},"modified":"2024-10-08T04:43:14","modified_gmt":"2024-10-08T04:43:14","slug":"write-the-word-sentence-as-an-inequality","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/08\/write-the-word-sentence-as-an-inequality\/","title":{"rendered":"Write the word sentence as an inequality"},"content":{"rendered":"\n<p>Write the word sentence as an inequality.<\/p>\n\n\n\n<p>A number x is at most 3.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The word sentence &#8220;A number ( x ) is at most 3&#8221; can be written as the inequality:<\/p>\n\n\n\n<p>[<br>x \\leq 3<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To break this down:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>What does &#8220;at most&#8221; mean?<\/strong><br>The phrase &#8220;at most&#8221; means that the number cannot be greater than a certain value but can be less than or equal to it. In this case, the number ( x ) cannot be greater than 3 but can be 3 or any number less than 3.<\/li>\n\n\n\n<li><strong>Translation to a mathematical inequality:<\/strong><br>We want to express that the number ( x ) is either less than or equal to 3. This is exactly what the inequality ( x \\leq 3 ) conveys. The symbol ( \\leq ) means &#8220;less than or equal to,&#8221; which matches the meaning of &#8220;at most.&#8221;<\/li>\n\n\n\n<li><strong>Breaking down the components of the inequality:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( x ) represents the unknown number we are discussing.<\/li>\n\n\n\n<li>The symbol ( \\leq ) indicates that the number on the left (in this case ( x )) is less than or equal to the number on the right (3).<\/li>\n\n\n\n<li>The number 3 is the upper bound, meaning that ( x ) cannot exceed 3.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Why not use ( x &lt; 3 )?<\/strong><br>Using ( x &lt; 3 ) would imply that the number must be strictly less than 3 and cannot equal 3. However, &#8220;at most&#8221; means the number could also be 3, so we use ( \\leq ), which includes the possibility that ( x ) could equal 3.<\/li>\n<\/ol>\n\n\n\n<p>This inequality is useful for situations where there is an upper limit but no lower limit specified. For example, if you&#8217;re given a rule that says, &#8220;You can spend at most 3 hours on an activity,&#8221; this means you could spend 3 hours or any amount of time less than that, but no more.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write the word sentence as an inequality. A number x is at most 3. The Correct answer and Explanation is : The word sentence &#8220;A number ( x ) is at most 3&#8221; can be written as the inequality: [x \\leq 3] Explanation: To break this down: This inequality is useful for situations where there [&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-149886","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149886","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=149886"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149886\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149886"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149886"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149886"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}