4. (a) Let R be the set of all real numbers. Consider a relation S on R, i.e. SCRX R. which is defined as follows: S = {(r.y) rye R.ry E Z}. Prove that S is an equivalence relation.
4. (a) Let R be the set of all real numbers. Consider a relation S on R, i.e. SCRX R. which is defined as follows: S = {(r.y) rye R.ry E Z}. Prove that S is an equivalence relation.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...
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