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Revision 459 - (view) (download)
| 1 : | jj | 61 | ## DESCRIPTION |
| 2 : | ## Calculus | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | jjholt | 459 | ## KEYWORDS('algebra','inequalities') |
| 6 : | jj | 61 | ## Tagged by YL |
| 7 : | |||
| 8 : | jjholt | 459 | ## DBsubject('Algebra') |
| 9 : | ## DBchapter('Equations and Inequalities') | ||
| 10 : | ## DBsection('Nonlinear Inequalities') | ||
| 11 : | jj | 61 | ## Date('') |
| 12 : | ## Author('') | ||
| 13 : | ## Institution('ASU') | ||
| 14 : | jjholt | 459 | ## TitleText1('') |
| 15 : | ## EditionText1('') | ||
| 16 : | ## AuthorText1('') | ||
| 17 : | jj | 61 | ## Section1('') |
| 18 : | ## Problem1('') | ||
| 19 : | |||
| 20 : | DOCUMENT(); # This should be the first executable line in the problem. | ||
| 21 : | |||
| 22 : | loadMacros("PG.pl", | ||
| 23 : | "PGbasicmacros.pl", | ||
| 24 : | "PGchoicemacros.pl", | ||
| 25 : | "PGanswermacros.pl", | ||
| 26 : | "PGauxiliaryFunctions.pl", | ||
| 27 : | "extraAnswerEvaluators.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 : | gage | 268 | ANS(interval_cmp(@answers) ); |
| 62 : | jj | 61 | |
| 63 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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