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Statement 1: Tells us x is positive. But nothing about Y. If y is also positive then expression will be smaller than 1, if y is -ve and |x|>|y|, then expression is bigger than 1, if y is -ve and |x|<|y|, then expression is less than 1, and finally if y = 0, then expression is equal to 1. So this statement alone is not sufficient.
Statement 2: Tells us y is negative. But nothing about x. If x is positive then expression will be greater than 1, if x is -ve then expression is less than 1, and finally if x = 0, then expression is equal to -1. So this statement alone is not sufficient.
Combining both the statements: x is +ve and y is -ve. Say y = x - k (Where k is some -ve constant) So x-y = x - x + k = k x+y = x+x-k = 2x - k
If 2x - k > k, then answer is +ve 2x > 2k, x > k
However if 2x - k < k then answer is -ve.
So even after combining we cannot have the answer.