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: 99


$(Q\cap M) \cup R = \left\{0, 2, 4\right\}$

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: $Q \cap M = \left\{0, 2, 4, 6, 8\right\}=M$ Use (1) above to obtain: $(Q\cap M) \cup R \\= \left\{0, 2, 4, 6, 8\right\} \cap \left\{0, 1, 2, 3, 4\right\} \\ = \left\{0, 2, 4\right\}$
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