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: 34

Answer

$A\subseteq B$ is false. $A\subset B$ is false.

Work Step by Step

Represented using the roster method, the sets look like this: $A=\{4, 5, 6, 7, 8, 9\}$ $B=\{2, 3, 4, 5, 6, 7, 8\}$ We can see that. $A\subseteq B$ is false, as there is at least one element in set $A$ ($9$) that is not an element in set $B$. $A\subset B$ is false, as $A\subseteq B$ is false.
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