6.2.36 Prove that, for all sets A and B,a. (A B)U (BA) U(ANB) = AUBb. The sets (AB), (BA), and (ANB) are mutually disjoint.

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Answered: 6.2.36 Prove that, for all sets A and…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.1: Sets

Problem 41E: Express (AB)(AB) in terms of unions and intersections that involve A,A,B,andB

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6.2.36 Prove that, for all sets A and B, a. (A B)U (BA) U(ANB) = AUB b. The sets (AB), (BA), and (ANB) are mutually disjoint.