Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3: 159

Answer

false

Work Step by Step

If $A\subseteq B$, then $A\cap B = B$ This is false. $B$ is a superset of $A$ and can have elements that aren't in $A$. Those elements can't be in $A\cap B$, which means $A\cap B \neq B$. It should say: If $A\subseteq B$, then $A\cap B = A$
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