Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - 2.2 Subsets - Exercise Set 2.2: 112

Answer

The statement is false. The set has 4 subsets.

Work Step by Step

The set $\{3, \{1, 4\}\}$ has 2 elements: $3$ and $\{1, 4\}$. Therefore, the set has $2^2=4$ subsets. The statement is false.
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