Give an example of a nonempty relation R on A = {1, 2, 3, 4} which is a. symmetric and transitive but not reflexive, and b. symmetric and antisymmetric.
Give an example of a nonempty relation R on A = {1, 2, 3, 4} which is a. symmetric and transitive but not reflexive, and b. symmetric and antisymmetric.
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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Give an example of a nonempty relation R on A = {1, 2, 3, 4} which is
a. symmetric and transitive but not reflexive, and
b. symmetric and antisymmetric.
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