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closed as a duplicate of: GATE CSE 2000 | Question: 2.5

A relation R is defined on the set of integers as xRy iff (x+y) is even. Which of the following statements is true?

A

R is not an equivalence relation
B

R is an equivalence relation having 1 equivalence class
C

R is an equivalence relation having 2 equivalence classes

D

R is an equivalence relation having 3 equivalence classes

       Engineering Mathematics        Sets and Relations

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