<?xml version="1.0" encoding="UTF-8"?>
<quiz>
  <question type="description">
    <name>
      <text>3.5.1.3 afterTask1_(pg53)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<h4>Modulus</h4>
<p>The <span><strong>modulus or magnitude sign</strong></span> is sometimes used with inequalities. For example <span class="math inline">\(|x|&lt;1\)</span> represents the set of all numbers whose actual size, irrespective of sign, is less than 1. This
    means any value between <span class="math inline">\(-1\)</span> and 1. Thus <span class="math display">\[|x|&lt;1 \hbox{ implies } -1&lt;x&lt;1\]</span></p>
<p>Similarly <span class="math inline">\(|x|&gt;4\)</span> means all numbers whose size, irrespective of sign, is greater than 4. This means any value greater than 4 or less than <span class="math inline">\(-4\)</span>. Thus <span class="math display">\[|x|&gt; 4 \hbox{ implies } x&gt; 4 \hbox{ or } x&lt; -4.\]</span></p>

<p>In general, if <span class="math inline">\(k\)</span> is a positive number,</p>
<div class="HELM_keypoint">
    <h4>Key Point</h4>
    <p><span class="math display">\[|x|&lt;k \hbox{ means } -k&lt;x&lt;k\]</span> <span class="math display">\[|x|&gt;k \hbox{ means } x&gt;k \hbox{ or } x&lt;-k\]</span></p>
</div>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text/>
    </generalfeedback>
    <defaultgrade>0</defaultgrade>
    <penalty>0</penalty>
    <hidden>0</hidden>
    <idnumber/>
  </question>
</quiz>
