Determining Relationship between Two Integers

Very Hard Data Sufficiency Determining Sufficiency

Let x and y be two integers. We want to determine whether x is greater than y.

Statement (1): The sum of x and y is 10.

Statement (2): The difference between x and y is 2.

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 (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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