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: 98

Answer

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

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 (1) to obtain: $N \cup R = \left\{0, 1, 2, 3, 4, 5, 7, 9, 11, 13\right\}$ Use (2) above to obtain: $(N\cup R) \cap M \\= \left\{0, 1, 2, 3, 4, 5, 7, 9, 11, 13\right\} \cap \left\{0, 1, 2, 3, 4\right\} \\ = \left\{0, 1, 2,3 , 4\right\} \\=R$
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