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: 97


$(M\cap N) \cup R = R$

Work Step by Step

RECALL: (1) The symbol $\cup$ represents union of sets which lists down in a set the combined elements of the given sets. (2) The symbol $\cap$ represents intersection of sets which lists down in a set the elements common to the given sets. Use (2) to obtain: $M \cap N = \emptyset$ Use (1) above, and the fact that the empty set has no elements, to obtain: $(M\cap N) \cup R = \emptyset \cup R = R$
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