Let A, B, and C be sets. Does A – C = B – C imply A = B? If so, prove it. If not, give a counterexample.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 1TFE: Label each of the following statements as either true or false. 1. , for every nonempty set A.
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Let A, B, and C be sets. Does A – C = B – C imply A = B? If so, prove it. If not, give a counterexample.
 
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