Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3 - Page 81: 28


(A∩B)' = {2,4,5,6,7}

Work Step by Step

U = {1,2,3,4,5,6,7} A = { 1,3,5,7} B = {1,2,3} The set (A∩B)' represents the elements of U which are not present in A∩B. Since the elements of A∩B should not be present in (A∩B). A∩B represents the common elements of A and B. Therefore the common elements of A and B are 1,3. So set A∩B = {1,3} Therefore set (A∩B) ' contains {2,4,5,6,7}.
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