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Let the relation R on the set Z be given by the condition: (x, y) E Rif and only if x4 = y4. Answer the following questions about R : 1) Is R reflexive? [ Select ] 2) Is R symmetric? [Select ] 3) Is R transitive? [ Select] 4) Is R an equivalence relation? [ Select ] > > >

Let the relation R on the set Z be given by the condition: (x, y) E Rif and only if x4 = y4. Answer the following questions about R : 1) Is R reflexive? [ Select ] 2) Is R symmetric? [Select ] 3) Is R transitive? [ Select] 4) Is R an equivalence relation? [ Select ] > > >

Elements Of Modern Algebra
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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Let the relation R on the set Z be given by the condition: (x, y) E Rif and only if x4 = y4. Answer the following questions about R : 1) Is R reflexive? [ Select ] 2) Is R symmetric? [Select ] 3) Is R transitive? [ Select] 4) Is R an equivalence relation? [ Select ] > > >
Transcribed Image Text:Let the relation R on the set Z be given by the condition: (x, y) E Rif and only if x4 = y4. Answer the following questions about R : 1) Is R reflexive? [ Select ] 2) Is R symmetric? [Select ] 3) Is R transitive? [ Select] 4) Is R an equivalence relation? [ Select ] > > >
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