Equivalence Relations Let A = Z Let R be defined on A x A where z R y if 7 | (x – y) . Prove that Ris 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 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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Equivalence Relations
Let A = Z
Let R be defined on A x A where x Ry if 7 | (x – y).
Prove that R is an equivalence relation.
Transcribed Image Text:Equivalence Relations Let A = Z Let R be defined on A x A where x Ry if 7 | (x – y). Prove that R is an equivalence relation.
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