Answered: R.1. Consider the relation R = {(x,y):…

R.1. Consider the relation R = {(x,y): x,y eR & x² = y*}. Prove that R is an equivalence relation on the set of real numbers, and describe its equivalence classes.

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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I need help with this discrete mathematics question involving equivilence classes

R.1. Consider the relation R = {(x,y):x,y eR & x² = y}. Prove that R is an equivalence
relation on the set of real numbers, and describe its equivalence classes.

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