Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5 - Page 310: 76

Answer

Set:, 50-year-old father, 49-year old mother, 24-year old daughter and 22-year old son. Subset:, Two parents.

Work Step by Step

Explain real numbers are closed with respect to multiplication, but the irrational numbers, a subset of the real numbers, are not. Give an example of a set that is not mathematical that has a particular characteristic, which has a subset without this characteristic. That the real numbers are closed with respect to multiplication but the irrational numbers, a subset of the real numbers are not. Consider the set of the family members of a family with 50-year-old father, 49-year old mother, 24-year old daughter and 22-year old son. The entire set has the characteristics of being allowed admittance to an R-rated movie. However, any subset that does not contain at least one of the two parents would not have this characteristic.
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