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}

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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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