Give an example of a relation on the set A = {1, 2, 3, 4, 5} that is a) both symmetric and antisymmetric. b) neither symmetric or antisymmetric. c) anitisymmetric but not symmetric
Give an example of a relation on the set A = {1, 2, 3, 4, 5} that is a) both symmetric and antisymmetric. b) neither symmetric or antisymmetric. c) anitisymmetric but not 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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Step 1: Introduction of the symmetric and antisymmetric relations
VIEWStep 2: Determine the relation on the set A which is both symmetric and symmetric
VIEWStep 3: Determine the relation neither symmetric nor antisymmetric
VIEWStep 4: Determine the relation antisymmetric but not symmetric
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