Determining the Uniqueness of Solutions for x + y = 10

Hard Data Sufficiency Determining Sufficiency

Let $x$ and $y$ be non-negative integers. We want to determine whether the equation $x + y = 10$ has a unique solution.

Statement (1): $x$ is a non-negative integer less than 5.

Statement (2): $y$ is greater than or equal to 5.

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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