Answered: 1. Let H = {1, 2, 3, 4, 5} and the…

1. Let H = {1, 2, 3, 4, 5} and the rlation RC H², with (a, b) ER + a = b( mod 3). • Give the set R. • Is R is equivalence relation? (prove your answer). If yes, what are the equivalence classes?

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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Question

1. Let H = {1,2, 3, 4, 5} and the rlation RC H², with (a, b) E R A a = b( mod 3).
• Give the set R.
• Is R is equivalence relation? (prove your answer). If yes, what are the equivalence
classes?

Expert Solution

Relation R

R ={(1, 1), (2, 2), (3, 3), (4, 4), (5, 5)}

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