Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3 - Page 83: 148

Answer

It isn't possible to find a set's compliment if a universal set is not given.

Work Step by Step

It isn't possible to find a set's compliment if a universal set is not given. The set $A'$ is determined by the contents of $U$; therefore, for every $x$, we can't know if $x\in A'$ because we don't know if $x\in U$.
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