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 137: 35

Answer

This is just a restatement of the definition. An element is in (AU B) - (A Ո B) if it is in the union (i.e., in either A or B), but not in the intersection (i.e., not in both A and B).

Work Step by Step

The symmetric difference of A and B, denoted by A ⊕ B,is the set containing those elements in either A or B, but not in both A and B. so A U B have all the elements of both A and B and AՈB have all the common elements A U B - A Ո B set consist of all the elements of A and B excluding the common elements
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