Answered: Let S be the following relation on ℂ:…

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Let S be the following relation on ℂ: S = {(x, y) ∈ ℂ2 : y − x is real}. Prove that S 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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Question

Let S be the following relation on ℂ:

S = {(x, y) ∈ ℂ² : y − x is real}.

Prove that S is an equivalence relation.

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