Determine whether the given relation is an equivalent relation on {1, 2, 3, 4, 5} If the relation is an equivalence relation, list the equivalence classes (x, y = {1, 2, 3, 4, 5}.)
Determine whether the given relation is an equivalent relation on {1, 2, 3, 4, 5} If the relation is an equivalence relation, list the equivalence classes (x, y = {1, 2, 3, 4, 5}.)
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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Question
![Determine whether the given relation is
an equivalent relation on (1, 2, 3, 4, 5}
If the relation is an equivalence
relation, list the equivalence classes
(x, y E {1,2, 3, 4, 5} . )
3, 4, 5}.
1. {(1,1), (2, 2) , (3, 3) , (4, 4) , (5, 5) , (1, 3) , (3, 1)}
2. {(x, y) | 3 divides x + y}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae805f64-33e9-410f-8fab-51bdc0a00aa5%2Fe6d2395c-5c44-4a48-a223-ca0554106232%2Ffwmyki_processed.png&w=3840&q=75)
Transcribed Image Text:Determine whether the given relation is
an equivalent relation on (1, 2, 3, 4, 5}
If the relation is an equivalence
relation, list the equivalence classes
(x, y E {1,2, 3, 4, 5} . )
3, 4, 5}.
1. {(1,1), (2, 2) , (3, 3) , (4, 4) , (5, 5) , (1, 3) , (3, 1)}
2. {(x, y) | 3 divides x + y}
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