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Interval Answer Checkers: PG Code Snippet

This code snippet shows the essential PG code to check intervals as student answers. Note that these are insertions, not a complete PG file. This code will have to be incorporated into the problem file on which you are working.

Problem Techniques Index

PG problem file Explanation
  # to allow open or closed intervals, uncomment
  #    the following line.
  # Context()->flags->set(ignoreEndpointTypes=>1);

  $int = Compute("(1,3)");

No changes are necessary in the tagging and description and initialization sections of the question file. In the problem set-up section of the file, we set the Context to be the Interval Context. Note that we can relax checking of endpoints in the Context or in the actual answer checking, as noted below.

Once we're in the Interval context, we can define intervals as we'd expect: as shown here, or with limits at infinity:

  $int2 = Compute("(-inf,1]");

Would give the interval from negative infinity to 1, including the point at one. Note the Context flag to make endpoint checking "fuzzy."

  On what interval is the parabola
  \( y = (1-x)(x-3) \)
  above the \(x\)-axis?
  For \(x\) in \{ ans_rule(15) \}

In the text section of the file, we ask the question as usual.

  ANS( $int->cmp() );

And in the answer and solution section of the file, we can check the answer using our interval MathObject. To allow either open or closed intervals, we can specify a flag for the cmp() call: $int->cmp( requireParenMatch => 0 ). (Alternately, we can specify this for all intervals in the Context, as noted above.)

Problem Techniques Index