Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - 2.4 Set Operations and Venn Diagrams with Three Sets - Exercise Set 2.4: 11

Answer

(AUB)'∩C={4,6}

Work Step by Step

U={1,2,3,4,5,6,7} A={1,3,5,7} B={1,2,3} C={2,3,4,5,6} To find (AUB)'∩C, we need to find (AUB)'. AUB={1,3,5,7}U{1,2,3} = {1,2,3,5,7} (List of all elements of A and the elements of B that are not in A) (AUB)' represents all the elements of U that are not in (AUB). so (AUB)'={4,6} (AUB)'∩C={4,6} ∩ {2,3,4,5,6} = {4,6} (Common elements of (AUB)' and C)
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