View of /trunk/NationalProblemLibrary/maCalcDB/setAlgebra01RealNumbers/ur_ab_8_2.pg

    1 #DESCRIPTION
    2 ##  Absolute value inequality
    3 ##ENDDESCRIPTION
    4 
    5 ##KEYWORDS('algebra', 'inequality')
    6 ## hcao tagged and PAID on 2-20-2004
    7 
    8 ## DBsubject('Algebra')
    9 ## DBchapter('Basic Algebra')
   10 ## DBsection('Real Numbers')
   11 ## Date('6/3/2002')
   12 ## Author('')
   13 ## Institution('')
   14 ## TitleText1('College Algebra')
   15 ## EditionText1('3')
   16 ## AuthorText1('Stewart, Redlin, Watson')
   17 ## Section1('1.2')
   18 ## Problem1('39 35')
   19 DOCUMENT();        # This should be the first executable line in the problem.
   20 
   21 loadMacros(
   22 "PG.pl",
   23 "PGbasicmacros.pl",
   24 "PGchoicemacros.pl",
   25 "PGanswermacros.pl",
   26 "PGauxiliaryFunctions.pl"
   27 );
   28 
   29 TEXT(&beginproblem);
   30 $showPartialCorrectAnswers = 0;
   31 
   32 $a = random(2,5,1);
   33 $b = $a*random(-5,5,1);
   34 $c = $a*random(3,10,1);
   35 
   36 TEXT(EV2(<<EOT));
   37 The interval described in set-builder notation by the inequality$BR
   38 \(|$a x+$b|<$c\) has interval notation \((a,b)\)$BR
   39 for$BR
   40 \(a=\) \{ans_rule(20) \}
   41 $BR
   42 EOT
   43 
   44 $ans = -$b/$a-$c/$a;
   45 &ANS(std_num_cmp($ans));
   46 
   47 TEXT(EV2(<<EOT));
   48 and$BR
   49 \(b=\) \{ans_rule(20) \}
   50 $BR
   51 EOT
   52 
   53 $ans = -$b/$a+$c/$a;
   54 &ANS(std_num_cmp($ans));
   55 
   56 ENDDOCUMENT();        # This should be the last executable line in the problem.