5. Let A = {41, 49, 67, 71, 73, 76, 81, 88, 111} and R be an equivalence relation defined on A where aRb if and only if a = b mod 4. Show the partition of A defined by the equivalence classes of R. 2

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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5. Let A = {41, 49, 67, 71, 73, 76, 81, 88, 111} and R be an equivalence relation defined
on A where aRb if and only if a = b mod 4. Show the partition of A defined by the
equivalence classes of R.
2
Transcribed Image Text:5. Let A = {41, 49, 67, 71, 73, 76, 81, 88, 111} and R be an equivalence relation defined on A where aRb if and only if a = b mod 4. Show the partition of A defined by the equivalence classes of R. 2
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