Zero in on Data Sufficiency

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Zero in on Data Sufficiency

QOD2014_1229
Statement (1)
Absolute values cannot be negative. If -x equals an absolute value, -x cannot be negative, so x cannot be positive. Since x ≠ 0, x must be negative.
This statement is sufficient.
The correct answer is A or D.
Statement (2)
Simplifying this expression gives us x = + 4 or - 4.
Therefore, x can be positive or negative and statement 2 alone isn’t sufficient.
The correct choice is A.