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Let R be the relation on the set of integers, s.t., aRb if and only if a=b or a= -b. Is R an equivalence relation?

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 R be the relation on the set of integers, s.t., aRb if
and only if a=b or a= -b. Is R an equivalence relation?

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