(1) Let R be the relation defined on Z by aRb if 2a + b = 0 (mod 3).(a) Prove that R is an equivalence relation.(b) Compute the equivalence classes and express them in set notation.

Given that be the relation defined on the set by if .We need to prove that the given relation is…

Answered: Let R be the relation defined on Z by…

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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Let R be the relation defined on Z by aRb if 2a + b = 0 (mod 3). a) Prove that R is an equivalence relation. b) Compute the equivalence classes and express them in set notation.