Let R = { (1,1), (3,1), (2,1),(2,2), (1,3) } be a relation on the set A = {1,2,3}. (a) Determine (state your reasons) whether or not (i) R is reflexive (ii) R is symmetric (iii) R is antisymmetric. (iv) R is 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 R = { (1,1), (3,1), (2,1),(2,2), (1,3) }
be a relation on the set A = {1,2,3}.
(a) Determine (state your reasons) whether or not
(i) R is reflexive
(ii) R is symmetric
(iii) R is antisymmetric.
(iv) R is transitive
Transcribed Image Text:Let R = { (1,1), (3,1), (2,1),(2,2), (1,3) } be a relation on the set A = {1,2,3}. (a) Determine (state your reasons) whether or not (i) R is reflexive (ii) R is symmetric (iii) R is antisymmetric. (iv) R is transitive
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