Precalculus (6th Edition)

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

Chapter R - Review of Basic Concepts - R.1 Sets - R.1 Exercises - Page 8: 102

Answer

$Q \cap (M \cup N) = \{0,2,4,6,8\} = Q$

Work Step by Step

The symbol $\cap$ represents the intersection of two sets (for example $A$ and $B $), which is a set made up of all elements belonging to both sets $A$ and $B$. The symbol $\cup$ represents the union of two sets (for example $A$ and $B$ ), which is a set made up of all elements belonging to set $A$ or set $B$. We start by finding the set $M \cup N$ $M \cup N = \{ 0,1,2,3,5,6,7,8,9,11,13 \}$ $Q \cap (M \cup N)$ is the intersection of the two sets $Q$ and $(M \cup N)$ $Q \cap (M \cup N) = \{0,2,4,6,8\} = Q$
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