Determine if the sum of two negative integers is negative

Very Hard Data Sufficiency Determining Sufficiency

Let $x$ and $y$ be two negative integers. We want to determine whether the sum $x + y$ is negative.

Statement (1): $x < -5$.

Statement (2): $y < -3$.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

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