<?xml version="1.0" encoding="UTF-8"?>
<quiz>
  <question type="multichoice">
    <name>
      <text>35.1.4.7 Complement of union, intersection</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p class="HELM_exercise">Exercise</p>
<p>Given 2 sets \(A, B\) and a universal set \(S\), recall that the complement of \(A\) is denoted by 
\(A'\) and the complement of \(B\) is denoted by \(B'\). Which of the following statements are true?</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p>To see that these 2 statements are true, use definitions of complement, union, intersection. Alternatively, draw Venn diagrams representing the sets in question.</p>]]></text>
    </generalfeedback>
    <defaultgrade>1</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber/>
    <single>false</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>none</answernumbering>
    <showstandardinstruction>1</showstandardinstruction>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
    <answer fraction="50" format="html">
      <text><![CDATA[<p>\( (A \cap B)' = A' \cup B' \)</p>]]></text>
      <feedback format="html">
        <text/>
      </feedback>
    </answer>
    <answer fraction="50" format="html">
      <text><![CDATA[<p>\( (A \cup B)' = A' \cap B' \)</p>]]></text>
      <feedback format="html">
        <text/>
      </feedback>
    </answer>
    <answer fraction="-5" format="html">
      <text><![CDATA[<p>\( (A \cap B)' = A' \cap B' \)</p>]]></text>
      <feedback format="html">
        <text/>
      </feedback>
    </answer>
    <answer fraction="-5" format="html">
      <text><![CDATA[<p>\( (A \cup B)' = A' \cup B' \)</p>]]></text>
      <feedback format="html">
        <text/>
      </feedback>
    </answer>
    <answer fraction="-5" format="html">
      <text><![CDATA[<p>\(A \cup B = A' \cup B'\)</p>]]></text>
      <feedback format="html">
        <text/>
      </feedback>
    </answer>
  </question>
</quiz>
