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.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 31E: 31. Prove that if is positive and is negative, then is negative.
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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.
Transcribed Image Text: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.
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