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

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