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Consider the following relations R = {(x...

Consider the following relations R = {(x,y) |x, y are real number and x = wy for some rational number w}, `S = {(m/n, p/q)]` m,n,p and q are integers such that `n, q ne 0` and qm = pn}. Then

A

R is an equivalence relation but S is not an equivalence relation

B

Neither R nor S is an equivalence relation

C

S is an equivalence relation but R is not an equivalence relation

D

R and S both are equivalence relations.

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The correct Answer is:
C
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