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 ] > > >
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4
![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 ]
>
>
>](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa634b7c7-36f9-4958-b67b-df1a79f44893%2F9bebd186-ce45-458e-91f9-9165709c4e1c%2Fe119fjb_processed.jpeg&w=3840&q=75)
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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