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

Let R be the real line. Consider the following subsets of the plane `RxxR` . `S""=""{(x ,""y)"":""y""=""x""+""1""a n d""0""<""x""<""2},""T""=""{(x ,""y)"":""x-y""` is an integer }. Which one of the following is true?

A

S is an equivlence relation on R but T is not

B

T is an equivalence relation on R but S is not

C

Neither S not T is an equivalence relation on R

D

Both S and T are equivalence relations on R

Text Solution

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The correct Answer is:
B
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