PreTeXt Sample Book: Abstract Algebra (SAMPLE ONLY)

<exercises>
  <title>Hodgepodge</title>
  <exercise label="true-false-exercise-with-tasks-in-exercises">
    <title>With Tasks in an Exercises Division</title>
    <introduction>
      <p>
        Structured with task, recycled earlier from earlier,
        to make sure that the tasks do not get counted as Runestone reading activities (since they are inside an <tag>exercise</tag> inside of an <tag>exercises</tag> division.
      </p>
    </introduction>
    <task label="true-false-task-in-exercises">
      <title>True/False</title>
      <idx>vector space</idx>
      <statement correct="no">
        <p>
          Every vector space has finite dimension.
        </p>
      </statement>
      <feedback>
        <p>
          The vector space of all polynomials with finite degree has a basis,
          <m>B = \{1,x,x^2,x^3,\dots\}</m>, which is infinte.
        </p>
      </feedback>
      <hint>
        <p>
          <m>P_n</m>, the vector space of polynomials with degree at most <m>n</m>,
          has dimension <m>n+1</m> by <xref ref="theorem-exponent-laws" />. [Cross-reference is just a demo,
          content is not relevant.] What happens if we relax the defintion and remove the parameter <m>n</m>?
        </p>
      </hint>
    </task>
    <task label="short-answer-task-in-exercises">
      <statement>
        <p>
          Explain your reasoning in the previous question.
        </p>
      </statement>
      <response />
    </task>
  </exercise>
</exercises>