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 - Page 92: 55

Answer

Sets (AUB)' and (A∩B)' are not equal. As the regions of both the sets are different.

Work Step by Step

a) Set (AUB)' represents all the regions of U which does not belongs to set AUB So, The regions IV represents the set (AUB)'. b) Set (A∩B)' represents the regions of U which does not belongs to set A∩B So, The regions I, III, IV represents the set (A∩B)'. Based on parts a and b, sets (AUB)' and (A∩B)' are not equal. As the regions of both the sets are different.
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