Analyzing Conditions of Inequality

Medium Data Sufficiency Analyzing Information

Let $x$ and $y$ represent two real numbers. We want to determine whether the sum $x + y$ is greater than 10.

Statement (1): $x - y = 4$.

Statement (2): $x + 2y = 12$.

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.

The two statements together are not sufficient.

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