## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 2 - Set Theory - 2.2 Subsets - Exercise Set 2.2: 36

#### Answer

$\emptyset \subseteq \{101, 102, 103,... , 200\}$ $\emptyset \subset \{101, 102, 103,... , 200\}$

#### Work Step by Step

$\emptyset$____$\{101, 102, 103,... , 200\}$ By definition, an empty set is a subset of every set, and is a proper subset of every set except another empty subset, therefore: $\emptyset \subseteq \{101, 102, 103,... , 200\}$ $\emptyset \subset \{101, 102, 103,... , 200\}$

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