Answered: Let ~ be defined on the set X =…

Let ~ be defined on the set X = {0,1,2,3,4,5,6,7,8,9} by x ~ y + x2 = y? mod 5. Prove that is an equivalence relation on X and identify the equivalence classes. (10)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...

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Let - be defined on the set X = → x² = y? mod 5. Prove
that - is an equivalence relation on X and identify the equivalence classes.
{0,1,2,3,4,5,6,7,8,9} by x ~ y +
(10)

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