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# View of /trunk/NationalProblemLibrary/ASU-topics/setContinuity/4-1-37.pg

Sat Jan 14 02:13:08 2006 UTC (7 years, 4 months ago) by jj
File size: 1265 byte(s)
New problems for the library.


    1 ## DESCRIPTION
2 ## Calculus
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('calculus', 'continuity')
6 ## Tagged by YL
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Single Variable')
10 ## DBsection('Continuity')
11 ## Date('')
12 ## Author('')
13 ## Institution('ASU')
14 ## TitleText1('Calculus')
15 ## EditionText1('5e')
16 ## AuthorText1('Stewart')
17 ## Section1('')
18 ## Problem1('')
19
20 DOCUMENT();        # This should be the first executable line in the problem.
21
23            "PGbasicmacros.pl",
24            "PGchoicemacros.pl",
26            "PGauxiliaryFunctions.pl",
28
29 $a = random(2,8,1); 30$b = random(1,9,1);
31
32 TEXT(beginproblem());
33
34 $showPartialCorrectAnswers = 1; 35 36 37 38 TEXT(EV3(<<'EOT')); 39 Use interval notation to indicate the set of solutions 40 to the inequality 41 $\frac{x^2 + a x}{x - b} > 0.$ 42$PAR
43 $PAR 44$BBOLD NOTE: $EBOLD 45 When using interval notation in WeBWorK, remember 46 that: 47$BR $SPACE$SPACE $SPACE$SPACE You use 'I' for $$\infty$$ and '-I' for $$-\infty$$.
48 $BR$SPACE $SPACE$SPACE $SPACE And use 'U' for the union symbol. 49 50$PAR
51 Solution:
52 $BR 53 \{ans_rule(25)\} 54$PAR
55 $PAR 56 EOT 57 58 @answers = "(-$a,0)U(\$b,I)";
59
60
61 ANS( interval_cmp(@answers) );
62
63 ENDDOCUMENT();        # This should be the last executable line in the problem.


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