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| 1 : | dpvc | 882 | ## DESCRIPTION |
| 2 : | ## Algebra | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | jj | 248 | |
| 5 : | dpvc | 882 | ## KEYWORDS('algebra','inequalities') |
| 6 : | ## Tagged by cmd6a 8/6/06 | ||
| 7 : | jjholt | 319 | |
| 8 : | dpvc | 882 | ## DBsubject('Algebra') |
| 9 : | ## DBchapter('Equations and Inequalities') | ||
| 10 : | ## DBsection('Nonlinear Inequalities') | ||
| 11 : | ## Date('8/23/07') | ||
| 12 : | ## Author('K. Lesh') | ||
| 13 : | ## Institution('Union College') | ||
| 14 : | ## TitleText1('') | ||
| 15 : | ## EditionText1('') | ||
| 16 : | ## AuthorText1('') | ||
| 17 : | ## Section1('') | ||
| 18 : | ## Problem1('') | ||
| 19 : | jjholt | 319 | |
| 20 : | dpvc | 882 | DOCUMENT(); # This should be the first executable line in the problem. |
| 21 : | |||
| 22 : | loadMacros( | ||
| 23 : | "PGstandard.pl", | ||
| 24 : | "PGunion.pl", # Union College utilities | ||
| 25 : | "MathObjects.pl", | ||
| 26 : | "PGcourse.pl", # Customization file for the course | ||
| 27 : | ); | ||
| 28 : | |||
| 29 : | TEXT(beginproblem); | ||
| 30 : | |||
| 31 : | Context("Interval"); | ||
| 32 : | |||
| 33 : | ################################### | ||
| 34 : | # Setup | ||
| 35 : | |||
| 36 : | $a = random(2,10,1); | ||
| 37 : | $a2 = $a*$a; | ||
| 38 : | |||
| 39 : | ################################### | ||
| 40 : | # Main text | ||
| 41 : | |||
| 42 : | BEGIN_TEXT | ||
| 43 : | Solve the following inequality. Express the answer in interval notation. | ||
| 44 : | \[ x^4 > $a2 x^2 \] | ||
| 45 : | Answer: \{ans_rule(35)\} | ||
| 46 : | $PAR | ||
| 47 : | $INFINITY_UNION_MESSAGE | ||
| 48 : | END_TEXT | ||
| 49 : | |||
| 50 : | ################################### | ||
| 51 : | # Answers | ||
| 52 : | |||
| 53 : | $showPartialCorrectAnswers = 0; | ||
| 54 : | |||
| 55 : | $ans1 = -$a; | ||
| 56 : | $ans2 = $a; | ||
| 57 : | |||
| 58 : | ANS(Union("(-infinity,$ans1)U($ans2,infinity)")->cmp); | ||
| 59 : | |||
| 60 : | ################################### | ||
| 61 : | |||
| 62 : | ENDDOCUMENT(); # This should be the last executable line in the problem.; |
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