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Let RR be the set of all real numbers. C...

Let `RR` be the set of all real numbers. Consider the following subsets of the plane `RRxxRR`:S = { (x,y) : y=x+1 and 0 `lt x lt 2`} and T = { (x,y) : x-y is an integer }. Then which of the following is true ?

A

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

B

Neigher S nor T is an equivalence relation.

C

Both S and T are equivalence relation

D

S is an equivalence relation but T is not an equivalence realtion.

Text Solution

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The correct Answer is:
A
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