Answered: Define a relation on Z by x ~ y if and…

Define a relation on Z by x ~ y if and only if x + 2y is divisible by 3. Show that this relation is an equivalence relation.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.3: Divisibility

Problem 18E: Let R be the relation defined on the set of integers by aRb if and only if ab. Prove or disprove...

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Define a relation on Z by x ~ y if and only if x + 2y is divisible by 3. Show that this relation is an equivalence relation.

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