Question 12Given the following relations on the set {1, 2, 3} and R = {(1, 1), (1, 2), (2, 1), (1,3)}.Which of the following is/are true? Check all that apply.OR is not reflexive since (2, 2) and (3, 3) are not in the relation.OR is transitive.R is symmetric since (1, 2) and (2, 1) are in the relation.

Given problem:- Given the following relations on the set {1, 2, 3} and R = {(1, 1), (1, 2), (2, 1),…

Answered: Given the following relations on the…

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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Given the following relations on the set {1, 2, 3} and R = {(1, 1), (1, 2), (2, 1), (1,3)}. Which of the following is/are true? Check all that apply. OR is not reflexive since (2, 2) and (3, 3) are not in the relation. OR is transitive. OR is symmetric since (1, 2) and (2, 1) are in the relation.