Q2.5

MCQ2 marks, −0.5

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

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