problem on inequality & exponent

[alfat]

if (x-5)(y+2)=0 which of the following must be true?(A)X=Y (b) X>Y (C)X<Y (d)XY=-10 e.none of th above

[Brent@GMATPrepNow]

if (x-5)(y+2)=0 which of the following must be true?(A)X=Y (b) X>Y (C)X<Y (d)XY=-10 e.none of th above

If (x-5)(y+2)=0, then we can conclude that x = 5, or y = -2, or both

(A)X=Y This need not be true. For example, one solution could be x=5, y=6
(B) X>Y This need not be true. For example, one solution could be x=5, y=6
(C)X<Y This need not be true. For example, one solution could be x=5, y=3
(D)XY=-10 This need not be true. For example, one solution could be x=5, y=6
(E)none of the above.

So, the correct answer must be E

Cheers,
Brent