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: 40

Answer

yes

Work Step by Step

you can see that most easily using a truth table for all eight cases. In the process of proving this, you’ll discover that A⊕B⊕ C consists of elements that belong to either 0 or 2 of the sets A, B, and C. More generally, the continued symmetric difference A1 ⊕A2 ⊕· · ·⊕An consists of those elements that belong to an even number of the sets A1, A2, . . . , An.
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