<p>When solving a quadratic inequality a graphical method is used to find the range of values of \(x\).</p>
<div class="content-block content-block--table"><div class="table-container"><table style="width: 100%;"><thead><tr><th style="text-align: left; --cell-justify: flex-start"></th><th style="text-align: left; --cell-justify: flex-start"></th><th style="text-align: center; --cell-justify: center"><p>Range of values of \(x\)</p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p>\( (x - p)(x - q) &lt; 0 \)</p></td><td style="text-align: center; --cell-justify: center"><div class="graph-block" data-graph-config="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" data-width="150" data-height="100" style="width:150px;height:100px;max-width:100%;display:block;margin:0 auto;"></div></td><td style="text-align: center; --cell-justify: center"><p>\( p &lt; x &lt; q\)</p></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>\( (x - p)(x - q) &gt; 0 \)</p></td><td style="text-align: center; --cell-justify: center"><div class="graph-block" data-graph-config="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" data-width="150" data-height="100" style="width:150px;height:100px;max-width:100%;display:block;margin:0 auto;"></div></td><td style="text-align: center; --cell-justify: center"><p>\(x &lt; p\) or \(x &gt; q \)</p></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>\( (x - p)(x - q) \leq 0 \)</p></td><td style="text-align: center; --cell-justify: center"><div class="graph-block" data-graph-config="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" data-width="150" data-height="100" style="width:150px;height:100px;max-width:100%;display:block;margin:0 auto;"></div></td><td style="text-align: center; --cell-justify: center"><p>\( p \leq x \leq q \)</p></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>\( (x - p)(x - q) \geq 0 \)</p></td><td style="text-align: center; --cell-justify: center"><div class="graph-block" data-graph-config="eyJheGlzIjp0cnVlLCJncmlkIjpmYWxzZSwid2lkdGgiOjE1MCwiaGVpZ2h0IjoxMDAsImVsZW1lbnRzIjpbeyJpZCI6IjIyZmZkZWM4LWE5NmMtNDUxZS1hN2NkLTUyZWI2NmQ5ZTU1YSIsImRhc2giOjIsInR5cGUiOiJmdW5jdGlvbmdyYXBoIiwieE1heCI6MiwieE1pbiI6LTIsImNvbG9yIjoiIzAwMDAwMCIsImV4cHJlc3Npb24iOiJ4XjIgLSA0Iiwic3Ryb2tlV2lkdGgiOjEuNX0seyJpZCI6ImEyODlhYjhhLTk0MjMtNDYxMi05NTk1LWZhNWRhNTc0YjkyNSIsImRhc2giOjAsInR5cGUiOiJmdW5jdGlvbmdyYXBoIiwieE1heCI6LTIsInhNaW4iOi01LCJjb2xvciI6IiMwMDAwMDAiLCJ4T2Zmc2V0IjowLCJ5T2Zmc2V0IjowLCJleHByZXNzaW9uIjoieF4yIC0gNCIsInN0cm9rZVdpZHRoIjoxLjV9LHsiaWQiOiI5YjFkNzJlNy1kNGMxLTQzNjMtYjE1Zi1hOGExYzdkMzIwMmQiLCJkYXNoIjowLCJ0eXBlIjoiZnVuY3Rpb25ncmFwaCIsInhNYXgiOjUsInhNaW4iOjIsImNvbG9yIjoiIzAwMDAwMCIsImV4cHJlc3Npb24iOiJ4XjIgLSA0Iiwic3Ryb2tlV2lkdGgiOjEuNX0seyJpZCI6Ijc1ZmQ1ZjcyLWNjMjUtNDEyNi04OWVlLTYzYjgzZTM2MmVjMyIsInRvIjotMiwiZnJvbSI6LTYsInR5cGUiOiJpbnRlZ3JhbCIsInhNYXgiOi0yLCJ4TWluIjotNiwiY29sb3IiOiIjMDAwMDAwIiwiZmlsbENvbG9yIjoiIzAwMDAwMCIsImV4cHJlc3Npb24iOiJ4XjIgLSA0IiwiZmlsbE9wYWNpdHkiOjAuMiwic3Ryb2tlV2lkdGgiOjB9LHsieCI6LTIsInkiOjAsImlkIjoiNzJmNTE3MjUtNGE1Ni00YzIyLTgzNzQtODhlMzUzNWE1NDI4IiwidHlwZSI6InBvaW50IiwiY29sb3IiOiIjMDAwMDAwIiwibGFiZWwiOiJcXChwXFwpIiwicG9pbnRTaXplIjoxLCJsYWJlbE9mZnNldCI6Wy0yMCwtMTBdfSx7IngiOjIsInkiOjAsImlkIjoiNmU0YzI2ZjAtYjBkZS00MWJhLWE4NGMtNmViNjBlMzIwNmE1IiwidHlwZSI6InBvaW50IiwiY29sb3IiOiIjMDAwMDAwIiwibGFiZWwiOiJcXChxXFwpIiwicG9pbnRTaXplIjoxLCJsYWJlbE9mZnNldCI6WzEwLC0xMF19LHsiaWQiOiJlYzIzYTFiMy02MmUyLTRhNWEtOTAwYy1lNWI2NTdiYjZhYjIiLCJ0byI6NiwiZnJvbSI6MiwidHlwZSI6ImludGVncmFsIiwieE1heCI6NiwieE1pbiI6MiwiY29sb3IiOiIjMDAwMDAwIiwiZmlsbENvbG9yIjoiIzAwMDAwMCIsImV4cHJlc3Npb24iOiJ4XjIgLSA0IiwiZmlsbE9wYWNpdHkiOjAuMiwic3Ryb2tlV2lkdGgiOjB9LHsiaWQiOiI3NzcyM2EwNS0xZTQ3LTRiOWYtYmVjOC00ZWQ4NzVmOTgwOTkiLCJ0eXBlIjoic2VnbWVudCIsImNvbG9yIjoiIzAwMDAwMCIsInBvaW50MSI6WzUuNSwyXSwicG9pbnQyIjpbMiwyXSwic3Ryb2tlV2lkdGgiOjEuNSwicG9pbnQxRW5kcG9pbnRTdHlsZSI6ImFycm93IiwicG9pbnQyRW5kcG9pbnRTdHlsZSI6ImZpbGxlZC1jaXJjbGUifSx7ImlkIjoiZmE4ZjBmZTktMDE1Mi00ZDQ3LTkzNmQtM2JiZmQ0ZjlmOTg4IiwidHlwZSI6InNlZ21lbnQiLCJjb2xvciI6IiMwMDAwMDAiLCJwb2ludDEiOlstMiwyXSwicG9pbnQyIjpbLTUuNSwyXSwic3Ryb2tlV2lkdGgiOjEuNSwicG9pbnQxRW5kcG9pbnRTdHlsZSI6ImZpbGxlZC1jaXJjbGUiLCJwb2ludDJFbmRwb2ludFN0eWxlIjoiYXJyb3cifSx7ImlkIjoiYzBmMzUyYmQtM2QzNi00MmQ3LWExNTAtYjg5ZTNjYzkyNWE1IiwiZGFzaCI6MiwidHlwZSI6InNlZ21lbnQiLCJjb2xvciI6IiMwMDAwMDAiLCJwb2ludDEiOlsyLDBdLCJwb2ludDIiOlsyLDEuOF0sInN0cm9rZVdpZHRoIjoxLjV9LHsiaWQiOiJhNjBiYzZjMS04ODhjLTQ0NDMtOWZiNS00OWI4Mzk2M2RjZDgiLCJkYXNoIjoyLCJ0eXBlIjoic2VnbWVudCIsImNvbG9yIjoiIzAwMDAwMCIsInBvaW50MSI6Wy0yLDEuOF0sInBvaW50MiI6Wy0yLDBdLCJzdHJva2VXaWR0aCI6MS41fV0sInNob3dZQXhpcyI6ZmFsc2UsInhBeGlzTGFiZWwiOiJcXCh4XFwpIiwieUF4aXNMYWJlbCI6IlxcKHlcXCkiLCJib3VuZGluZ0JveCI6Wy01LDUsNSwtNV0sIm9yaWdpbkxhYmVsIjoiXFwoT1xcKSIsImdyaWRTZXR0aW5ncyI6eyJtYWpvckNvbG9yIjoiIzk0YTNiOCIsIm1ham9yU3RlcFgiOjEsIm1ham9yU3RlcFkiOjEsIm1pbm9yQ29sb3IiOiIjY2JkNWUxIiwibWFqb3JPcGFjaXR5IjowLjQ1LCJtaW5vck9wYWNpdHkiOjAuNDUsIm1pbm9yRWxlbWVudHNYIjoxLCJtaW5vckVsZW1lbnRzWSI6MSwibWFqb3JTdHJva2VXaWR0aCI6MC44LCJtaW5vclN0cm9rZVdpZHRoIjowLjV9LCJzaG93QXhpc0xhYmVscyI6ZmFsc2UsInNob3dOYXZpZ2F0aW9uIjpmYWxzZSwia2VlcEFzcGVjdFJhdGlvIjp0cnVlLCJ4QXhpc0xhYmVsT2Zmc2V0IjpbMiwtMTFdLCJ5QXhpc0xhYmVsT2Zmc2V0IjpbLTE0LDVdLCJvcmlnaW5MYWJlbE9mZnNldCI6Wy01LC0yXX0=" data-width="150" data-height="100" style="width:150px;height:100px;max-width:100%;display:block;margin:0 auto;"></div></td><td style="text-align: center; --cell-justify: center"><p>\( x \leq q\) or \( x \geq p \)</p></td></tr></tbody></table></div></div>

When solving a quadratic inequality a graphical method is used to find the range of values of \(x\).

Solving Quadratic Inequalities

Solving Quadratic Inequalities