Answered: For each of these relations on the set…

For each of these relations on the set {1,2,3,4}, decide whether it is reflexive, symmetric, antisymmetric and/or transitive. Draw the graph of the relation: {(1,1), (2,2), (3,3), (4,4)}

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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Question

For each of these relations on the set {1,2,3,4}, decide whether it is reflexive, symmetric, antisymmetric and/or transitive. Draw the graph of the relation:

{(1,1), (2,2), (3,3), (4,4)}
{(1,2), (2,3), (3,4)}
{(1,1), (1,2), (2,1), (2,2), (3,3), (4,4)}
{(2,4), (4,2)}
{(2,2), (2,3), (2,4), (3,2), (3,3), (3,4)}
{(1,3), (1,4), (2,3), (2,4), (3,1), (3,4)}

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