QUESTION 2 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
Chapter1: Fundamentals
Section1.7: Relations
Problem 1TFE: Label each of the following statements as either true or false. Every mapping on a nonempty set A is...
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QUESTION 2
Let S be the following relation on C:
S = {(x, y) = C²:y-x is real}.
Prove that S is an equivalence relation.
Transcribed Image Text:QUESTION 2 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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