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: 75

Answer

$\emptyset \in \{\emptyset, \{\emptyset\}\}$ is true.

Work Step by Step

$\emptyset \in \{\emptyset, \{\emptyset\}\}$ This is correct. Let's say: $B = \{\emptyset, \{\emptyset\}\}$ $\in$ means that the element to the left is contained in the set to the right. We can see that $\emptyset$ is contained in $B$. Therefore, we can say: $\emptyset \in B$
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