Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 6 - Set Theory - Exercise Set 6.3 - Page 373: 34

Answer

Proof: Let A, B, and C be any sets such that x ∈ (A – B) – C x ∈ (A – B) – C = ( x ∈ A and x ∉ B ) and x∉ C = x ∈ A and (x ∉ B and x∉ C) = x ∈ A and (x ∉ B and x∉ C) = x ∈ A and x ∉ (B U C) = A - (B U C)

Work Step by Step

(A – B) – C = A – B – C = A – (B U C) By set difference law
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