Answered: A relation R is defined on Z by xRy if…

A relation R is defined on Z by xRy if and only if 8 divides 3x + 5y. Prove that R is an equivalence relation. Determine the distinct equivalence classes of R and their elements.

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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A relation R is defined on Z by xRy if and only if 8 divides 3x + 5y. Prove that R is an equivalence relation. Determine the distinct equivalence classes of R and their elements.

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