Is xy > x/y?
(1) xy > 0
(2) y < 0
Ans E
Inequality
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IMO E
from 2:
y<0
Let y=-2 and x=-3
xy>x/y
Let y=-2 and x=3
xy<x/y
NOT SUFFICIENT
from 1:
xy>0
therefore x>0 and y>0 OR x<0 and y<0
Let x=2, y=3
xy>x/y
Let x=-2, y=-3
xy>x/y
But, for x=1, y=1
xy=x/y
NOT SUFFICIENT
from 2:
y<0
Let y=-2 and x=-3
xy>x/y
Let y=-2 and x=3
xy<x/y
NOT SUFFICIENT
from 1:
xy>0
therefore x>0 and y>0 OR x<0 and y<0
Let x=2, y=3
xy>x/y
Let x=-2, y=-3
xy>x/y
But, for x=1, y=1
xy=x/y
NOT SUFFICIENT
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