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    <name>
      <text>35.1.4.1 Complement, empty set exercise (exercise 1)</text>
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      <text><![CDATA[<p class="HELM_exercise">Exercise</p>
<p>Given a set \(A\), its complement \(A'\) and a universal set \(S\), which of the following expressions are true?</p>]]></text>
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    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The complement set \(A'\) consists of all elements in the universal set that are not in set \(A\), so \(A \cup A' = S\) and \(A \cap A' = \emptyset\). Also, the subset sequence \(\emptyset \subset A \subset S\) means means that a union between any pair equates to the larger set, \(A \cup \emptyset = A\), and an intersection equates to the smaller set, \(A \cap S = A\).</p>]]></text>
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      <text>Your answer is correct.</text>
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      <text>Your answer is partially correct.</text>
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      <text>Your answer is incorrect.</text>
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    <answer fraction="20" format="html">
      <text><![CDATA[<p>\(A \cup A' = S\)</p>]]></text>
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      <text><![CDATA[<p>\(A \cap A' = \emptyset\)</p>]]></text>
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    <answer fraction="-5" format="html">
      <text><![CDATA[<p>\(A \cap A' = S\)</p>]]></text>
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    <answer fraction="20" format="html">
      <text><![CDATA[<p>\(A \cup \emptyset = A \)</p>]]></text>
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    <answer fraction="-5" format="html">
      <text><![CDATA[<p>\(A \cup \emptyset = \emptyset\)</p>]]></text>
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    <answer fraction="-5" format="html">
      <text><![CDATA[<p>\(A \cap \emptyset = A\)</p>]]></text>
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    <answer fraction="20" format="html">
      <text><![CDATA[<p>\(A \cap \emptyset = \emptyset\)</p>]]></text>
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    <answer fraction="20" format="html">
      <text><![CDATA[<p>\(A \cup S = S \)</p>]]></text>
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