{"id":662,"date":"2013-05-28T15:03:10","date_gmt":"2013-05-28T15:03:10","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=662"},"modified":"2026-03-25T15:18:32","modified_gmt":"2026-03-25T20:18:32","slug":"solving-absolute-value-inequalities","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/solving-absolute-value-inequalities\/","title":{"rendered":"Solving Absolute Value Inequalities"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_MV98bcloNpY\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_MV98bcloNpY\" data-source-videoID=\"MV98bcloNpY\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Solving Absolute Value Inequalities Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Solving Absolute Value Inequalities\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_MV98bcloNpY:hover {cursor:pointer;} img#videoThumbnailImage_MV98bcloNpY {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/1262-absolute-value-inequalities-resized-2.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_MV98bcloNpY\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_MV98bcloNpY\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Solving Absolute Value Inequalities\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_MV98bcloNpY\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_MV98bcloNpY\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_MV98bcloNpY\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction 8au_Function() {\n  var x = document.getElementById(\"8au\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"8au_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"8au\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#What_is_an_Absolute_Value_Inequality\" class=\"smooth-scroll\">What is an Absolute Value Inequality?<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Solving_Absolute_Value_Inequalities\" class=\"smooth-scroll\">Solving Absolute Value Inequalities<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Absolute_Value_Inequalities_Practice_Questions\" class=\"smooth-scroll\">Absolute Value Inequalities Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hi, and welcome to this video on solving absolute value inequalities!<\/p>\n<h2><span id=\"What_is_an_Absolute_Value_Inequality\" class=\"m-toc-anchor\"><\/span>What is an Absolute Value Inequality?<\/h2>\n<p>\nAn absolute value inequality is an inequality that has an absolute value on one side of the inequality.=<\/p>\n<p>Remember, when you solve an absolute value equation, you come up with two answers. An absolute value inequality is similar, except instead of two answers, your answer will include all the numbers between the two that you found.<\/p>\n<h2><span id=\"Solving_Absolute_Value_Inequalities\" class=\"m-toc-anchor\"><\/span>Solving Absolute Value Inequalities<\/h2>\n<p>\nTo solve an absolute value inequality, remove the absolute value signs, and place the expression between the positive and negative values of the inequality given to you. Then, solve the problem like you would any other inequality expression, remembering to do the same thing to all three parts of the expression.<\/p>\n<h3><span id=\"Example_1\" class=\"m-toc-anchor\"><\/span>Example #1<\/h3>\n<p>\nLet\u2019s look at an example to see what I\u2019m talking about.<\/p>\n<div class=\"examplesentence\">\\(|3x-4|\\)< \\(7\\)<\/div>\n<p>\n&nbsp;<br \/>\nFirst, we remove the absolute value signs and place the expression between positive and negative 7, like this:<\/p>\n<div class=\"examplesentence\">\\(-7\\)< \\(3x \u2013 4\\) < \\(7\\)<\/div>\n<p>\n&nbsp;<br \/>\nThen, we solve for \\(x\\). First, we add 4 to each part.<\/p>\n<div class=\"examplesentence\">\\(-3\\) < \\(3x\\) < \\(11\\)<\/div>\n<p>\n&nbsp;<br \/>\nNow, divide by 3 to get \\(x\\) by itself. <\/p>\n<div class=\"examplesentence\">\\(-1\\) < \\(x\\) < \\(\\frac{11}{3}\\)<\/div>\n<p>\n&nbsp;<br \/>\nAnd that\u2019s your answer. Notice how you still solve for two different numbers, but your answer is the range of numbers between those two.<\/p>\n<h3><span id=\"Example_2\" class=\"m-toc-anchor\"><\/span>Example #2<\/h3>\n<p>\nLet\u2019s try another one. <\/p>\n<div class=\"examplesentence\">\\(|-2x + 3|\\) \u2264 \\(9\\)<\/div>\n<p>\n&nbsp;<br \/>\nFirst, get rid of the absolute value signs, and put the expression between -9 and 9.<\/p>\n<div class=\"examplesentence\">\\(-9\\) \u2264 \\(-2x + 3\\) \u2264 \\(9\\)<\/div>\n<p>\n&nbsp;<br \/>\nThen, subtract 3 from each part.<\/p>\n<div class=\"examplesentence\">\\(-12\\) \u2264 \\(-2x\\) \u2264 \\(6\\)<\/div>\n<p>\n&nbsp;<\/p>\n<p>And finally, divide by -2. But remember, when you divide by a negative, you have to flip the inequality signs.<\/p>\n<div class=\"examplesentence\">\\(6\\) \u2265 \\(x\\) \u2265 \\(-3\\)<\/div>\n<p>\n&nbsp;<\/p>\n<p>And there\u2019s your answer!<\/p>\n<h3><span id=\"Example_3\" class=\"m-toc-anchor\"><\/span>Example #3<\/h3>\n<p>\nI want you to try one more, but this time pause the video and try to figure it out yourself. Then, check your steps with mine.<\/p>\n<div class=\"examplesentence\">\\(|-5x \u2013 10|\\) \u2264 \\(15\\)<\/div>\n<p>\n&nbsp;<br \/>\nFirst, remove the absolute value signs and place your expression between -15 and 15.<\/p>\n<div class=\"examplesentence\">\\(-15\\) \u2264 \\(-5x \u2013 10\\) \u2264 \\(15\\)<\/div>\n<p>\n&nbsp;<br \/>\nThen, add 10 to all 3 parts.<\/p>\n<div class=\"examplesentence\">\\(-5\\) \u2264 \\(-5x\\) \u2264 \\(25\\)<\/div>\n<p>\n&nbsp;<br \/>\nDivide by -5, remembering to flip your signs since you\u2019re dividing by a negative.<\/p>\n<div class=\"examplesentence\">\\(1\\) \u2265 \\(x\\) \u2265 \\(-5\\)<\/div>\n<p>\n&nbsp;<br \/>\nAnd that\u2019s all there is to it! I hope this video on solving absolute value inequalities was helpful. Thanks for watching, and happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Absolute_Value_Inequalities_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Absolute Value Inequalities Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following inequality:<\/p>\n<div class=\"yellow-math-quote\">\\(|5x+14|\\leq 9\\)<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\"><span style=\"font-size: 120%\">\\(-\\frac{14}{5}\\)<\/span>\\(\\:\\leq x \\leq\\)<span style=\"font-size: 120%\">\\(\\:\\frac{9}{5}\\)<\/span><\/div><div class=\"PQ\"  id=\"PQ-1-2\">\\(9\\leq x \\leq9\\)<\/div><div class=\"PQ\"  id=\"PQ-1-3\">\\(-23\\leq x \\leq-5\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-4\"><span style=\"font-size: 120%\">\\(-\\frac{23}{5}\\)<\/span>\\(\\:\\leq x \\leq-1\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>This question is asking you to find all values of \\(x\\) that make the expression \\(5x+14\\) be within nine units of 0. In other words, what range of \\(x\\) keeps \\(5x+14\\) between \u22129 and 9?<\/p>\n<p>The first thing to do when solving absolute value inequalities is place the expression between positive and negative values of the given numbers, like this:<\/p>\n<p style=\"text-align:center;\">\\(-9\\leq 5x+14 \\leq 9\\)<\/p>\n<p>Then, subtract 14 from all three parts.<\/p>\n<p style=\"text-align:center;\">\\(-23\\leq5x\\leq-5\\)<\/p>\n<p>Finally, divide each part by 5.<\/p>\n<p style=\"text-align:center;\"><span style=\"font-size: 120%\">\\(-\\frac{23}{5}\\)<\/span>\\(\\:\\leq x \\leq-1\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following inequality:<\/p>\n<div class=\"yellow-math-quote\">\\(|7x-11|\\)<\\(12\\)<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-2-1\"><span style=\"font-size: 120%\">\\(-\\frac{1}{7}\\)<\/span>\\(\\:\\lt x \\lt\\) <span style=\"font-size: 120%\">\\(\\:\\frac{23}{7}\\)<\/span><\/div><div class=\"PQ\"  id=\"PQ-2-2\">\\(-12 \\lt x \\lt 7\\)<\/div><div class=\"PQ\"  id=\"PQ-2-3\">\\(-1 \\lt x \\lt 23\\)<\/div><div class=\"PQ\"  id=\"PQ-2-4\"><span style=\"font-size: 120%\">\\(-\\frac{4}{7}\\)<\/span>\\(\\: \\lt x \\lt\\)<span style=\"font-size: 120%\">\\(\\:\\frac{16}{7}\\)<\/span><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>This question is asking you to find all values of \\(x\\) that make the expression \\(7x-11\\) be within 12 units of 0. In other words, what range of \\(x\\) keeps \\(7x-11\\) between \u221212 and 12?<\/p>\n<p>The first step is to place the expression between positive and negative values of the given number and get rid of the absolute value symbols, like this:<\/p>\n<p style=\"text-align:center;\">\\(-12 \\lt 7x-11 \\lt 12\\)<\/p>\n<p>Then, add 11 to all three parts.<\/p>\n<p style=\"text-align:center;\">\\(-1 \\lt 7x \\lt 23\\)<\/p>\n<p>Finally, divide each part by 7.<\/p>\n<p style=\"text-align:center;\"><span style=\"font-size: 120%\">\\(-\\frac{1}{7}\\)<\/span>\\(\\: \\lt x \\lt\\)<span style=\"font-size: 120%\">\\(\\:\\frac{23}{7}\\)<\/span><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following inequality:<\/p>\n<div class=\"yellow-math-quote\">\\(|7x+3|-2\\leq19\\)<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">\\(-24\\leq x \\leq 18\\)<\/div><div class=\"PQ\"  id=\"PQ-3-2\"><span style=\"font-size: 120%\">\\(\\frac{11}{7}\\)<\/span>\\(\\: \\leq x \\leq \\)<span style=\"font-size: 120%\">\\(\\: \\frac{18}{7}\\)<\/span><\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-3\"><span style=\"font-size: 120%\">\\(-\\frac{24}{7}\\)<\/span>\\(\\: \\leq x \\leq\\)<span style=\"font-size: 120%\">\\(\\: \\frac{18}{7}\\)<\/span><\/div><div class=\"PQ\"  id=\"PQ-3-4\"><span style=\"font-size: 120%\">\\(-\\frac{18}{7}\\)<\/span>\\(\\: \\leq x \\leq\\)<span style=\"font-size: 120%\">\\(\\: \\frac{24}{7}\\)<\/span><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>This question is asking you to find all values of \\(x\\) that make the expression \\(7x+3\\) stay within a certain distance of 0 (after accounting for the \u22122).<\/p>\n<p>The first step in this problem is to isolate the absolute value expression on one side of the inequality. We can do this by adding 2 to both sides.<\/p>\n<p style=\"text-align:center;\">\\(|7x+3|\\leq21\\)<\/p>\n<p>Then, to get rid of the absolute value, place \\(7x+3\\) between the \u00b121, like so:<\/p>\n<p style=\"text-align:center;\">\\(-21\\leq 7x+3 \\leq  21\\)<\/p>\n<p>Next, subtract 3 from all three parts.<\/p>\n<p style=\"text-align:center;\">\\(-24\\leq7 x \\leq18\\)<\/p>\n<p>Finally, divide each part by 7.<\/p>\n<p style=\"text-align:center;\"><span style=\"font-size: 120%\">\\(-\\frac{24}{7}\\)<\/span>\\(\\: \\leq x \\leq\\)<span style=\"font-size: 120%\">\\(\\: \\frac{18}{7}\\)<\/span><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following inequality:<\/p>\n<div class=\"yellow-math-quote\">\\(\\frac{1}{2}|6x-4|\\leq17\\)<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">\\(-30\\leq x \\leq 38\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-2\">\\(-5\\leq x \\leq\\)<span style=\"font-size: 120%\">\\(\\: \\frac{19}{3}\\)<\/span><\/div><div class=\"PQ\"  id=\"PQ-4-3\">\\(-30\\leq x \\leq\\)<span style=\"font-size: 120%\">\\(\\: \\frac{19}{3}\\)<\/span><\/div><div class=\"PQ\"  id=\"PQ-4-4\">\\(-5\\leq x \\leq 38\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>This question is asking you to find all values of \\(x\\) that make the expression \\(6x-4\\) stay within a certain distance of 0 (after accounting for the \\(\\frac{1}{2}\\)).<\/p>\n<p>First, isolate the absolute value expression on one side of the inequality. In this case, do that by multiplying both sides by 2.<\/p>\n<p style=\"text-align:center;\">\\(|6x-4|\\leq34\\)<\/p>\n<p>Then, get rid of the absolute value signs by placing \\(6x-4\\) between \u00b134, like this:<\/p>\n<p style=\"text-align:center;\">\\(-34\\leq 6x-4 \\leq 34\\)<\/p>\n<p>Next, add 4 to all three parts.<\/p>\n<p style=\"text-align:center;\">\\(-30\\leq 6x \\leq 38\\)<\/p>\n<p>Finally, divide each part by 6, being sure to simplify fractions when necessary.<\/p>\n<p style=\"text-align:center;\">\\(-5\\leq x \\leq\\)<span style=\"font-size: 120%\">\\(\\: \\frac{19}{3}\\)<\/span><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following inequality:<\/p>\n<div class=\"yellow-math-quote\">\\(3|2x-5|+12 \\lt 39\\)<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">\\(-14 \\lt x \\lt 4\\)<\/div><div class=\"PQ\"  id=\"PQ-5-2\">\\(-4 \\lt x \\lt 14\\)<\/div><div class=\"PQ\"  id=\"PQ-5-3\">\\(-7 \\lt x \\lt 2\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-4\">\\(-2 \\lt x \\lt 7\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>This question is asking you to find all values of \\(x\\) that make the expression \\(2x-5\\) stay within a certain distance of 0 (after accounting for the 3 in front).<\/p>\n<p>The first thing to do in order to solve this inequality is isolate the absolute value expression on one side of the inequality. Do this by first subtracting 12 from both sides, then divide both sides by 3.<\/p>\n<p style=\"text-align:center; line-height: 40px\">\n\\(3|2x-5| \\lt 27\\)<br \/>\n\\(|2x-5| \\lt 9\\)\n<\/p>\n<p>Then, get rid of the absolute value signs by putting the expression \\(2x-5\\) between \u00b19, like this:<\/p>\n<p style=\"text-align:center;\">\\(-9 \\lt 2x-5 \\lt 9\\)<\/p>\n<p>Next, add 5 to all three parts.<\/p>\n<p style=\"text-align:center;\">\\(-4 \\lt 2x \\lt 14\\)<\/p>\n<p>Finally, divide each part by 2.<\/p>\n<p style=\"text-align:center;\">\\(-2 \\lt x \\lt 7\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/algebra-i\/\">Return to Algebra I Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Algebra I Videos<\/p>\n","protected":false},"author":1,"featured_media":100357,"parent":0,"menu_order":23,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-662","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-inequalities-videos","7":"page_category-math-advertising-group","8":"page_type-video","9":"content_type-practice-questions","10":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/662","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=662"}],"version-history":[{"count":7,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/662\/revisions"}],"predecessor-version":[{"id":279490,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/662\/revisions\/279490"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/100357"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=662"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}