Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - 2.5 Survey Problems - Exercise Set 2.5 - Page 106: 58

Answer

true.

Work Step by Step

$A'$ represents the elements of the universal set that are not in $A$. Since $A' \cup A = U$ and $A$ and $A'$ have no common elements, then $n(U)= n(A')+ n(A)$ Therefore, $n(A') = n(U) - n(A)$ Thus, the given statement is true.
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