Determine whether the following relations on the set of integers are reflexive , symmetric, antisymmetric and/or transitive. Go ahead and use the abbreviations R, S, A, and T to give your answers. a. {(x,y)|x> y} b. {(x,y)| x+y is even}

Determine whether the following relations on the set of integers are reflexive , symmetric, antisymmetric and/or transitive. Go ahead and use the abbreviations R, S, A, and T to give your answers. a. {(x,y)|x> y} b. {(x,y)| x+y is even}

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...

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Question

Determine whether the following relations on the set of integers are reflexive , symmetric, antisymmetric and/or
transitive.
Go ahead and use the abbreviations R, S, A, and T to give your answers.
a. {(x.y) x > y}
b. {(x,y)| x+y is even}

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