Statement 1:M7MBA wrote:Is xy < 1?
(1) 2/x > 3y
(2) x > 0
Let y=-1, implying that 2/x > -3.
Case 1: x=-1, with the result that 2/x = 2/(-1) = -2
In this case, xy = (-1)(-1) = 1, so the answer to the question stem is NO.
Case 2: x=1, with the result that 2/x = 2/1 = 2
In this case, xy = (1)(-1) = -1, so the answer to the question stem is YES.
Since the answer is NO in Case 1 but YES in Case 2, INSUFFICIENT.
Statement 2:
If x=1 and y=1, then xy = 1*1 = 1, with the result that the answer to the question stem is NO.
If x=1 and y=0, then xy = 1*0 = 0, with the result that the answer to the question stem is YES.
Since the answer is NO in the first case but YES in the second case, INSUFFICIENT.
Statements combined:
Since x>0, both sides of 2/x > 3y can safely be multiplied by x:
x(2/x) > 3y(x)
2 > 3xy
2/3 > xy
xy < 2/3.
Thus, the answer to the question stem is YES.
SUFFICIENT.
The correct answer is C.
