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 - Page 68: 73

Answer

false $\emptyset \subseteq \{\emptyset, \{\emptyset\}\}$

Work Step by Step

$\emptyset \not\subseteq \{\emptyset, \{\emptyset\}\}$ This is incorrect, for it should say: $\emptyset \subseteq \{\emptyset, \{\emptyset\}\}$ By definition, an empty set is a subset of every set.
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