Hey Bunuel,

Can you please let me know where I'm going wrong in the following method:

Statement1:

1/x < 1/y

Subtract 1/y from both sides: we get (y-x)/xy <0.

Therefore, either xy<0 or (y-x)<0.

If xy<0 then the answer to our question is YES both are opposite signs.

If y-x<0 -> y<x, then both can have same sign or opposite signs (ie.., y<x<0 OR y<0<x OR 0<y<x)

Therefore, Statement1 is INSUFFICIENT.

Statement2: 0<x so x is Positive but no information about y, So statement 2 is INSUFFICIENT.

(1) and (2) together:

We still have y<0<x or 0<y<x

Therefore, Both statements together are INSUFFICIENT. So E.

Thanks for your help!