Show that the relation 'a R b if and only if ab is an even integer defined

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Show that the relation 'a R b if and only if a−b is an even integer defined on the Z of integers is an equivalence relation.

Related Book For answer-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Posted Date: Aug 13, 2020 10:40 AM

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Show that the relation 'a R b if and only if ab is an even integer defined

Question:

Show that the relation 'a R b if and only if a−b is an even integer defined on the Z of integers is an equivalence relation.

Expert Answer:

Answer i Since aa0 and 0 is an even integer aaR R is reflexive ii If ab is even then ... View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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