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

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

A

S is an equivalence relation but R is not an equivalence

B

R and S both are equivalence relations

C

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

D

neither R not S is an equivalence relation

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The correct Answer is:

A

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