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: 103

Answer

$\emptyset; Q'$ and $(N'\cap U)$ are disjoints sets.

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 $B$. The complement ($A'$) of a set ($A$) is the set of all elements in the universal set that don't belong to set $A$. We start by finding $N'$ $N' = \{0,2,4,6,8,10,12 \} = Q$ $N' \cap U = N' = Q$ $\therefore Q' \cap (N' \cap U ) = Q' \cap Q = \emptyset$ Two sets that have no elements in common are disjoints sets.
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