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Let R be the real number. Consider the f...

Let R be the real number. Consider the following subsets of the plane `R xx R`
`S= {(x, y)}:y = x+1` and `0ltxlt 2`
`T= {(x, y)} : x-y` is an integer.
Which one of the following is true ?

A

T is an equivalence relation on R but S is not

B

Neither S nor T is an equivalence relation on R

C

Both S and T are equivalence relations on R

D

S is an equivalence relation on R but T is not.

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