Using Membership table, show that if A and B are sets, А - (А — В) %3DAПB

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 37E: Prove or disprove that AB=AC implies B=C.
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answer of question 2 only

1. Suppose A, B, and C are sets, A. Prove that:
AX (Bn C) = (A x B) n (A x C)
%3D
2. Using Membership table, show that if A and B are sets,
A - (A – B) = ANB
Transcribed Image Text:1. Suppose A, B, and C are sets, A. Prove that: AX (Bn C) = (A x B) n (A x C) %3D 2. Using Membership table, show that if A and B are sets, A - (A – B) = ANB
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