{"id":20056,"date":"2025-06-13T23:09:59","date_gmt":"2025-06-13T23:09:59","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=20056"},"modified":"2025-06-13T23:10:01","modified_gmt":"2025-06-13T23:10:01","slug":"which-value-is-a-solution-to-the-inequality-x-4","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-value-is-a-solution-to-the-inequality-x-4\/","title":{"rendered":"Which value is a solution to the inequality x &lt;4"},"content":{"rendered":"\n<p>Which value is a solution to the inequality x &lt;4<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Correct Answer:<\/h3>\n\n\n\n<p><strong>Any number less than 4<\/strong>, such as <strong>3<\/strong>, <strong>0<\/strong>, <strong>-5<\/strong>, or <strong>3.9<\/strong>, is a solution.<br>Let\u2019s choose <strong>3<\/strong> as a solution.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\udde0 Explanation (300 words):<\/h3>\n\n\n\n<p>To solve the inequality <strong>x &lt; 4<\/strong>, we are looking for <strong>any number that is smaller than 4<\/strong>.<\/p>\n\n\n\n<p>The inequality symbol <strong>\u201c&lt;\u201d<\/strong> means <strong>\u201cless than\u201d<\/strong>. So, <strong>x &lt; 4<\/strong> tells us that the value of <strong>x<\/strong> must be <strong>any number that is strictly less than 4<\/strong>. This excludes 4 itself\u2014<strong>4 is not a solution<\/strong> because it is <strong>equal to<\/strong>, not <strong>less than<\/strong>, 4.<\/p>\n\n\n\n<p>Let\u2019s test a few values to understand:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If <strong>x = 3<\/strong>, then we get:<br>\u2192 3 &lt; 4 \u2192 \u2705 True<\/li>\n\n\n\n<li>If <strong>x = 0<\/strong>, then:<br>\u2192 0 &lt; 4 \u2192 \u2705 True<\/li>\n\n\n\n<li>If <strong>x = -5<\/strong>, then:<br>\u2192 -5 &lt; 4 \u2192 \u2705 True<\/li>\n\n\n\n<li>If <strong>x = 3.9<\/strong>, then:<br>\u2192 3.9 &lt; 4 \u2192 \u2705 True<\/li>\n\n\n\n<li>But if <strong>x = 4<\/strong>, then:<br>\u2192 4 &lt; 4 \u2192 \u274c False<\/li>\n\n\n\n<li>And if <strong>x = 5<\/strong>, then:<br>\u2192 5 &lt; 4 \u2192 \u274c False<\/li>\n<\/ul>\n\n\n\n<p>This shows that <strong>only values less than 4 satisfy the inequality<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcc8 Graphical Understanding:<\/h3>\n\n\n\n<p>If you were to graph this on a number line, you would:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw a <strong>hollow\/open circle<\/strong> at <strong>4<\/strong> (since 4 is not included).<\/li>\n\n\n\n<li>Shade everything to the <strong>left of 4<\/strong>, showing all the values <strong>less than 4<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Final Thought:<\/h3>\n\n\n\n<p><strong>There are infinitely many correct answers<\/strong> to the inequality <strong>x &lt; 4<\/strong>.<br>Any number like <strong>3<\/strong>, <strong>1<\/strong>, <strong>-2<\/strong>, or even a decimal like <strong>3.9999<\/strong> is valid.<br><strong>So, one example of a correct value is: 3<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which value is a solution to the inequality x &lt;4 The correct answer and explanation is: \u2705 Correct Answer: Any number less than 4, such as 3, 0, -5, or 3.9, is a solution.Let\u2019s choose 3 as a solution. \ud83e\udde0 Explanation (300 words): To solve the inequality x &lt; 4, we are looking for any [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-20056","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20056","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=20056"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20056\/revisions"}],"predecessor-version":[{"id":20057,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20056\/revisions\/20057"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=20056"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=20056"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=20056"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}