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: 50

Answer

a.) I, II and III b.) I, II and III c.) A ∪ B = B ∪ A

Work Step by Step

a.) A ∪ B represents all the region of both the sets A and B. Therefore the Region I, II and III represents A ∪ B. b.)B ∪ A represents all the region of both the sets B and A. Therefore the Region I, II and III represents B ∪ A. c.) Based on parts (a) and (b), what can you conclude? Based on part a and part b we can conclude A ∪ B = B ∪ A. Because both the part a and b represents the same regions.
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