Explanation

This question has an absolute value in it. Algebraic expressions with absolute values should be analyzed in two cases: one in which the thing inside the bars is positive, and the other in which it's negative. Moreover, glancing at the data statements, we can see that both Statements describe n as negative. So we can purely ignore the case in which n is positive. Since we will know that n is negative, we can simplify:









This is not what we are being told: this is what we are being asked. But since we know that n is a negative number, will always be positive, and will always be negative, so the answer to this question will always be "no." If you're thinking, "Wait a minute! How did we answer the question without the statements?" Remember: we did use the statements. It turns out that knowing that n is negative is enough to answer the question being asked. Therefore Statements (1) and (2) are separately sufficient.

The correct answer is (D).