Given the set S = {1, 2, 3, 4, 5, 6}, define an equivalence relation R. on S where two elements a and b of S are related if a-b is an even number and verify the partition.
Given the set S = {1, 2, 3, 4, 5, 6}, define an equivalence relation R. on S where two elements a and b of S are related if a-b is an even number and verify the partition.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
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![5. Given the set S = {1,2,3, 4, 5, 6}, define an equivalence relation R. on S where two elements a
and b of S are related if a-b is an even number and verify the partition.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd1d18fa-5117-4349-9796-46cb8b49af1f%2F7421ae46-33f3-4222-af57-e0d63cc1400d%2Fgbzu7nj_processed.png&w=3840&q=75)
Transcribed Image Text:5. Given the set S = {1,2,3, 4, 5, 6}, define an equivalence relation R. on S where two elements a
and b of S are related if a-b is an even number and verify the partition.
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