1.Let R be the relation on Z defined bya)b)mRn if and only if mn > 0 or m = n = 0.Prove that R is an equivalence relation.How many distinct equivalence classes are there? What are they?

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Answered: 1. 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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1. Let R be the relation on Z defined by a) b) mRn if and only if mn > 0 or m = n = 0. Prove that R is an equivalence relation. How many distinct equivalence classes are there? What are they?