4. Let R be the relation on Z defined by xRy if x² = y² (mod 5). Prove that R is an equivalence relationand determine the distinct equivalence classes.

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Answered: 4. Let R be the relation on Z defined…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 10E: In Exercises , a relation is defined on the set of all integers. In each case, prove that is an...

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4. Let R be the relation on Z defined by xRy if x² = y² (mod 5). Prove that R is an equivalence relation and determine the distinct equivalence classes.