Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - Test: 3

Answer

The given statement is false.

Work Step by Step

$B \cap C$ is the set that contains elements common to sets B and C. Notice that the only element common to sets B and C is $1$. Thus, $B\cap C=\left\{1\right\}$ $(B\cap C \cup D$ contains the combined elements of $(B\cap C)$ and $D$. Since the element of $D$ is $4$, then $\color{blue}{(B\cap C \cup D=\left\{1, 4\right\}}$ Therefore, the given statement is false.
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