The numbers x and y are not integers. The value of x is closest to which integer?

(1) 4 is the integer that is closest to x + y.
(2) 1 is the integer that is closest to x - y.


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.

Statements (1) and (2) TOGETHER are NOT sufficient.

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Prep2007E2-DS