Thinking Mathematically (6th Edition)

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

Chapter 5 - Number Theory and the Real Number System - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5 - Page 310: 91


The statement makes sense. Create a subset of integers: $\left\{1, 2, 3\right\}$ $1+3=4$, which is not an element of the set.

Work Step by Step

The statement makes sense. To illustrate, if the subset $\left\{1, 2, 3\right\}$ is taken, $1+3=4$, which is not an element of the set. Thus, this subset of integers is not closed under addition.
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