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Using the Subsets to Define Domain and Range

Answers to Self Test

  1. If n represents the number, then 7 £ n and n Î natural numbers.
  2. If n represents the number, then 7 £ n and n Î real numbers..
  3. The minimum she can earn is 7 x $13.50 or $94.50. The restrictions on E 
    are thus:  $94.50 £ E
  4. Because of her home commitments, Heather will work a maximum of 5 hours per day and 4 days per week. If it takes her 30 minutes to cut one complete couch bundle:
    (a) To cut the minimum 7 bundles she must work 3.5 hours (7 x 30 min.).
          The maximum she will work is 20 hours (5 hr per day X 4 days per week)
          Therefore:   3.5 £  T £  20 
    (a) Minimum number of bundles is 7
          Maximum number of bundles is 40 (20 hours/0.5 hr per bundle)
          Therefore:    7 £ n £ 40 
    (b) Minimum amount of money is $94.50
          Maximum amount of money is $540
          Therefore:   $94.50 £ E £ $540