#1.Let R be the relation defined on the set of all integers Z as follows: for allintegers m and n, m R n e= m - n is divisible by 5. Prove that R isEquivalence Relation.

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Answered: #1. Let R be the relation defined on…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 24E: For any relation on the nonempty set, the inverse of is the relation defined by if and only if ....

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#1. Let R be the relation defined on the set of all integers Z as follows: for all integers m and n, m Rn == m - n is divisible by 5. Prove that R is Equivalence Relation.