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: 104

Answer

$U$

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 $\emptyset'$ The complement of the empty set is the universal set. $\emptyset' = U$ $\therefore (U \cap \emptyset') \cup R = (U \cap U) \cup R $ $(U \cap U) = U$ $(U \cap U) \cup R = U \cup R = U$
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