Determining if x is Greater than 5

Very Hard Data Sufficiency Determining Sufficiency

Let x be a real number. We want to determine if x is greater than 5.

Statement (1): If x is multiplied by 2, the result is less than or equal to 8.

Statement (2): If x is increased by 3, it becomes less than or equal to 10.

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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