Let A = {1, 2, 3} and consider the relation R = {(1, 2), (2, 2), (2, 1), (1, %3D 3),(1,1), (3, 1)}. Then R is O neither symmetric, nor transitive O symmetric and transitive O Neither reflexive but nor symmetric O Not reflexive but symmetric

Let A = {1, 2, 3} and consider the relation R = {(1, 2), (2, 2), (2, 1), (1, %3D 3),(1,1), (3, 1)}. Then R is O neither symmetric, nor transitive O symmetric and transitive O Neither reflexive but nor symmetric O Not reflexive but symmetric

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...

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Question

Let A = {1, 2, 3} and consider the relation R = {(1, 2), (2, 2), (2, 1), (1,
3),(1,1), (3, 1)}. Then R is
neither symmetric, nor transitive
O symmetric and transitive
O Neither reflexive but nor symmetric
O Not reflexive but symmetric
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