{"id":235641,"date":"2025-06-15T14:41:05","date_gmt":"2025-06-15T14:41:05","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=235641"},"modified":"2025-06-15T14:41:06","modified_gmt":"2025-06-15T14:41:06","slug":"9c-1-10-i-dont-get-this","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/15\/9c-1-10-i-dont-get-this\/","title":{"rendered":"9c + 1 > 10 . i don\u2019t get this"},"content":{"rendered":"\n<p>9c + 1 > 10 . i don\u2019t get this<\/p>\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>To solve the inequality:<\/p>\n\n\n\n<p><strong>9c + 1 &gt; 10<\/strong><\/p>\n\n\n\n<p>Start by isolating the variable term:<\/p>\n\n\n\n<p><strong>Step 1: Subtract 1 from both sides<\/strong><br>9c + 1 \u2212 1 &gt; 10 \u2212 1<br><strong>9c &gt; 9<\/strong><\/p>\n\n\n\n<p><strong>Step 2: Divide both sides by 9<\/strong><br>9c \u00f7 9 &gt; 9 \u00f7 9<br><strong>c &gt; 1<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Final Answer:<\/strong><br><strong>c &gt; 1<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation (300 words):<\/strong><\/p>\n\n\n\n<p>This inequality represents a mathematical statement where a linear expression is greater than a constant. To find the solution, apply operations that simplify the expression while maintaining the truth of the inequality.<\/p>\n\n\n\n<p>Begin by addressing the constant on the left-hand side. The goal is to isolate the variable term. The original inequality has a constant value of +1 added to the term 9c. To eliminate this +1, subtract 1 from both sides of the inequality. This creates a new expression: 9c &gt; 9. This step simplifies the inequality and moves closer to solving for the variable.<\/p>\n\n\n\n<p>Next, examine the coefficient attached to the variable. The coefficient of <strong>c<\/strong> is 9, which means the variable is being multiplied by 9. To isolate the variable completely, divide both sides of the inequality by 9. Division is the inverse of multiplication and is used to cancel out the coefficient. Dividing both sides results in the simplified expression: <strong>c &gt; 1<\/strong>.<\/p>\n\n\n\n<p>This expression means that the variable <strong>c<\/strong> must be greater than 1 for the original inequality to be true. Any number greater than 1\u2014such as 1.5, 2, or 10\u2014will satisfy the inequality. If <strong>c<\/strong> equals 1, the left-hand side would evaluate to 9(1) + 1 = 10, which is not greater than 10, so <strong>c = 1<\/strong> does not satisfy the inequality. Only values strictly greater than 1 make the statement true.<\/p>\n\n\n\n<p>The solution set includes all real numbers greater than 1. This type of inequality describes an open interval on a number line starting just above 1 and extending infinitely to the right.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-621.jpeg\" alt=\"\" class=\"wp-image-235642\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>9c + 1 > 10 . i don\u2019t get this The Correct Answer and Explanation is: To solve the inequality: 9c + 1 &gt; 10 Start by isolating the variable term: Step 1: Subtract 1 from both sides9c + 1 \u2212 1 &gt; 10 \u2212 19c &gt; 9 Step 2: Divide both sides by 99c [&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-235641","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235641","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=235641"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235641\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=235641"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=235641"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=235641"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}