Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.2 - Set Operations - Exercises - Page 136: 11

Answer

a) A U B = { x| (x E A) V (x E B) } = { x| (x E B) V (x E A) } = B U A b) A ∩ B = { x| (x E A) /\ (x E B) } = { x| (x E B) /\ (x E A) } = B ∩ A.

Work Step by Step

a) A U B means A union B. So x would be an element of A or B. Then use commutative law for logic OR, AND. b) A ∩ B means the intersection of A and B. So x would be an element of both A and B. Then use commutative law for logic OR, AND.
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