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X+Y>0 Therefore, X>-Y. Thus, it is unclear if Y is a positive number or a negative number. If Y is a positive number, Then X could be positive or negative. However, if Y is negative then X MUST be positive - given the assumption X>-Y. Number 2 tells us that Y is a negative number. Thus X>-(-Y) = X>|Y|. This is a "Yes/No" question - number 2 allows to answer a definitive "Yes"!

Statement 2 tells us that y is negative. The statement in the original problem tells us x + y > 0. So if y is negative, according to Stmnt2, then for [x + y > 0] be true x has to be a little more than absolute value of y. And that answers question.