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) E R if and anly if a = b, Va, b E A

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
6.
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) E R if and anly if a =
b, Va, b E A
Transcribed Image Text:Check the following relation R on the set A = {1,2, 3, 4} is reflexive, symmetric and or 6. 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) E R if and anly if a = b, Va, b E A
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