Let S be the following relation on C\{0}: S = {(x, y) = (C\{0})² : 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
Chapter3: Groups
Section3.3: Subgroups
Problem 23E: 23. Let be the equivalence relation on defined by if and only if there exists an element in ...
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Let S be the following relation on C\{0}:
S = {(x, y) = (C\{0})² : y/x is real}.
E
Prove that S is an equivalence relation.
Transcribed Image Text:Let S be the following relation on C\{0}: S = {(x, y) = (C\{0})² : y/x is real}. E Prove that S is an equivalence relation.
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