InequalityAnswer1

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This article has been retained as a historical document. It is not up-to-date and the formatting may be lacking. Use the information herein with caution.

This problem has been replaced with a newer version of this problem


Answer is an Inequality

Click to enlarge

This PG code shows a question whose answer is an inequality.


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PG problem file Explanation

Problem tagging data

Problem tagging:

DOCUMENT();

loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"contextInequalities.pl",
"AnswerFormatHelp.pl",
);

TEXT(beginproblem());

Initialization: We must load contextInequalities.pl.

Context("Inequalities-Only");
Context()->flags->set(formatStudentAnswer=>'parsed');

$a = random(3,9,1);

$ineq = "-$a x \leq 10";  # TeX

$answer = Compute("x >= -10 / $a");

Setup: We require students to use inequalities by using Context("Inequalities-Only"). If we had used Context("Inequalities") instead, then students could also enter their answer using interval notation. For more details, please see contextInequalities.pl

We use formatStudentAnswer=>'parsed' and Compute() so that the student's answer are left as fractions rather than reduced to decimals.

Context()->texStrings;
BEGIN_TEXT
Solve the inequality \( \displaystyle $ineq \).
Enter your answer using inequality notation.
$BR
$BR
\{ ans_rule(40) \}
\{ AnswerFormatHelp("inequalities") \}
END_TEXT
Context()->normalStrings;

Main Text:

$showPartialCorrectAnswers = 1;

ANS( $answer->cmp() );

Answer Evaluation:

Context()->texStrings;
BEGIN_SOLUTION
${PAR}SOLUTION:${PAR}
Solution explanation goes here.
END_SOLUTION
Context()->normalStrings;

COMMENT("MathObject version.");

ENDDOCUMENT();

Solution:

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