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

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

A

Both S and T are equivalence relations on R

B

S is an equivalence relation on R but T is not

C

T is an equivalence relation on R but S is not

D

Neither S nor T is an equivalence relation on R

Text Solution

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The correct Answer is:
C
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