2) Let A be the set of all integers. Suppose that xRy + x and y have the same reminder when divided by 5. Is R an equivalence relation? If yes, can you describe its equivalence classes?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 3E: a. Let R be the equivalence relation defined on Z in Example 2, and write out the elements of the...
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2) Let A be the set of all integers. Suppose that
xRy +x and y have the same reminder when divided by 5.
Is R an equivalence relation? If yes, can you describe its equivalence classes?
Transcribed Image Text:2) Let A be the set of all integers. Suppose that xRy +x and y have the same reminder when divided by 5. Is R an equivalence relation? If yes, can you describe its equivalence classes?
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