Discrete Structure Check the following relation R on the setA = {1, 2, 3, 4} is reflexive, symmetric andor transitive of not. Also write the conclusionwhether it can be an equivalence relation or not,where the relation R is defined as(a, b) e R if and anly if a + b, Va, be A

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Answered: Check the following relation R on the…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 28E

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Check the following relation R on the set A = {1, 2, 3, 4]} is reflexive, symmetric and or transitive of not. Also write the conclusion whether it can be an equivalence relation or not, where the relation R is defined as (a, b) = R if and anly if a ‡ b, a, b ≤ A