(a) For all sets A, B, and C, show that (AUC) - B = (A - B) u (C − B) (b) For all sets A, B, and C, show that (A-C) n (C-A) = {} (c) For all sets B and C, show that (B-C) - B = Ø

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
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6. With the aid of Set Identities, make a proof with respect to each of the following perfectly all of the subparts on word, viz:

 

(a) For all sets A, B, and C, show that (AUC) - B = (A - B) u (C − B)
(b) For all sets A, B, and C, show that (A-C) n(C-A) = {}
(c) For all sets B and C, show that (B-C) - B = Ø
Transcribed Image Text:(a) For all sets A, B, and C, show that (AUC) - B = (A - B) u (C − B) (b) For all sets A, B, and C, show that (A-C) n(C-A) = {} (c) For all sets B and C, show that (B-C) - B = Ø
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