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: 102

Answer

$A\in B$ $C\subseteq D$ The symbol $\in$ indicates that $A$ is a single element of the set $B$. The symbol $\subseteq$ indicates that all the elements of the set $C$ are also elements of the set $D$.

Work Step by Step

When we have: $A\in B$ $C\subseteq D$ The symbol $\in$ indicates that $A$ is a single element of the set $B$. The symbol $\subseteq$ indicates that all the elements of the set $C$ are also elements of the set $D$. Therefore, $A\in B$ and $A\subseteq B$ are not interchangeable.
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