College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.1 - Real Numbers - R.1 Assess Your Understanding: 22

Answer

$\overline{B} \cap \overline{C}=\left\{0, 5, 9\right\}$

Work Step by Step

RECALL: (1) $\overline{B}$ is the complement of set B, which is the set that contains the elements of the universal set that are not elements of B. (2) $\cap$ represents the intersection of two sets, which is the set that contains the elements that are common to the two given sets. Use (1) above to obtain: $\overline{B}=\left\{0,1,3,5,9\right\}$ $\overline{C}=\left\{0, 2, 5, 7, 8, 9\right\}$ Use rule (2) above to obtain: $\overline{B} \cap \overline{C}=\left\{0, 5, 9\right\}$
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