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: 93

Answer

$\emptyset \cap R = \emptyset$; $\emptyset$ and R are disjoint sets.

Work Step by Step

RECALL: (1) $\emptyset$ is the empty set (2) The symbol $\cap$ represents intersection of sets which lists down in a set the elements that are common to the given sets. Since the empty set has no elements., then its intersection with any other set will also be empty. Thus, $\emptyset \cap R = \emptyset$ Two sets that have no elements in common are disjoint sets.
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