Consider set A = {2,3,6} and relation R = {(2,2), (3,3), (6,6), (2,6), (6,2), (3,6), (6,3)}. Which one of the following statements is true? R is reflexive, symmetric, not antisymmetric, not transitive. R is reflexive, symmetric, not antisymmetric, transitive. R is reflexive, not symmetric, antisymmetric, transitive. R is reflexive, symmetric, antisymmetric, transitive.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 13E: 13. Consider the set of all nonempty subsets of . Determine whether the given relation on is...
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Consider set A = {2,3,6} and relation R = {(2,2), (3,3), (6,6), (2,6), (6,2), (3,6), (6,3)}.
Which one of the following statements is true?
R is reflexive, symmetric, not antisymmetric, not transitive.
R is reflexive, symmetric, not antisymmetric, transitive.
R is reflexive, not symmetric, antisymmetric, transitive.
R is reflexive, symmetric, antisymmetric, transitive.
Transcribed Image Text:Consider set A = {2,3,6} and relation R = {(2,2), (3,3), (6,6), (2,6), (6,2), (3,6), (6,3)}. Which one of the following statements is true? R is reflexive, symmetric, not antisymmetric, not transitive. R is reflexive, symmetric, not antisymmetric, transitive. R is reflexive, not symmetric, antisymmetric, transitive. R is reflexive, symmetric, antisymmetric, transitive.
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