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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) e R if and anly if a + b, Va, b e A O R is not reflexive, symmetric, not transitive ar symmetric. O R is not reflexive, symmetric, transitive and ne symmetric. R is not reflexive, not symmetric, not transitive and not anti- symmetric. R is not reflexive, symmetric, not transitive and not anti-symmetric.

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 O R is not reflexive, symmetric, not transitive ar symmetric. O R is not reflexive, symmetric, transitive and ne symmetric. R is not reflexive, not symmetric, not transitive and not anti- symmetric. R is not reflexive, symmetric, not transitive and not anti-symmetric.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...
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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) e R if and anly if a + b, Va, b e A O R is not reflexive, symmetric, not transitive ar symmetric. O R is not reflexive, symmetric, transitive and no symmetric. R is not reflexive, not symmetric, not transitive and not anti- symmetric. R is not reflexive, symmetric, not transitive and not anti-symmetric.
Transcribed Image Text: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 O R is not reflexive, symmetric, not transitive ar symmetric. O R is not reflexive, symmetric, transitive and no symmetric. R is not reflexive, not symmetric, not transitive and not anti- symmetric. R is not reflexive, symmetric, not transitive and not anti-symmetric.
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