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: 35

Answer

$\emptyset \subseteq \{7, 8, 9,... , 100\}$ $\emptyset \subset \{7, 8, 9,... , 100\}$

Work Step by Step

$\emptyset$____$\{7, 8, 9,... , 100\}$ By definition, an empty set is a subset of every set, and is a proper subset of every set except another subset, therefore: $\emptyset \subseteq \{7, 8, 9,... , 100\}$ $\emptyset \subset \{7, 8, 9,... , 100\}$
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