choose the best answer . write all answer steps clearly please . Check the following relation R on the set A = {1, 2, 3, 4}is reflexive, symmetric and or transitive of not. Also write the conclusionwhether it can be an equivalence relation or not, where the relation R is definedas(a, b) E R if and anly if a + b, Va, b E ARis not reflexive, symmetric, not transitive and anti-symmetric.O Ris not reflexive, symmetric, transitive and not anti-symmetric.R is not reflexive, not symmetric, not transitive and not anti-symmetric.O Ris not reflexive, symmetric, not transitive and not anti-symmetric.

Relation R on set A = {1, 2, 3, 4} and R is defined as, a,b ∈ R if and only if a≠b,∀a,b∈A.

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 Ris not reflexive, symmetric, not transitive and anti-symmetric. R is not reflexive, symmetric, transitive and not anti-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 Ris not reflexive, symmetric, not transitive and anti-symmetric. R is not reflexive, symmetric, transitive and not anti-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

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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