Hi Vincen,

To start, this question should really be posted in the DS Forum here: https://www.beatthegmat.com/data-sufficiency-f7.html

We're told that Y is an integer. We're asked if Y is greater than 0. This is a YES/NO question.

1) -(2 + Y) > 0

We can 'simplify' this inequality by multiplying both sides by -1, BUT we must 'flip' the inequality:

(2+Y) < 0
Y < -2

Since Y is LESS then -2, the answer to the question is ALWAYS NO.
Fact 1 is SUFFICIENT

2) (2 + Y)^2 > 0

Fact 2 gives us a 'squared term', meaning that the end result of that square will always be either 0 or positive. There's only one value that will NOT fit the given inequality: Y = -2 (meaning that Y can be ANYTHING except -2.
IF...
Y=1, then the answer to the question is YES
Y= -1, then the answer to the question is NO
Fact 2 is INSUFFICIENT

Final Answer: A

GMAT assassins aren't born, they're made,
Rich