R is the relation defined on Z as follows: m, n € Z, mRn ⇒ 5|(m² – n²). List all the distinct equivalence classes.

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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R is the relation defined on Z as follows: Vm,n € Z, mRn ⇒ 5|(m² – n²).
List all the distinct equivalence classes.
Transcribed Image Text:- R is the relation defined on Z as follows: Vm,n € Z, mRn ⇒ 5|(m² – n²). List all the distinct equivalence classes.
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