GMAT Data Sufficiency (DS) | Re: Is xy > 16?

Here's My solution

Stem: Is XY > 16. (Note: No constraints given. Both X and y could be positive, Negative, Zero, Integer, Non integer)

S1: 1 < |x| < 4
Tells us X = any number on the number line between 1 and 4or any number on number line between -1 and -4. Also no information on Y.
Insuff

S2: Y > 16
Tells us Y could be anything from 16 to Infinity. However no info on X. If X = 0 or negative XY is less then 16 and if X is 1, XY = 16 and if X is positive and greater then 1 XY
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