A relation S is an equivalence relation if and only if S is __ symmetric and transitive and reflexive __ transitive and symmetric and commutative __ symmetric and composite and reflexive __ transitive and antireflexive and symmetric __ None of these

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...
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A relation S is an equivalence relation if and only if S is

__ symmetric and transitive and reflexive

__ transitive and symmetric and commutative

__ symmetric and composite and reflexive

__ transitive and antireflexive and symmetric

__ None of these

 

 

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