Bunuel wrote:
If |x + 3| = 3, what is the value of x?
(1) x² ≠ 0
(2) x² + 6x = 0
Target question: What is the value of x? Given: |x + 3| = 3 This means that EITHER x + 3 = 3 OR x + 3 = -3
If x + 3 = 3, then x = 0
If x + 3 = -3, then x = -6
So,
EITHER x = 0 OR x = -6 Statement 1: x² ≠ 0 This tells us that
x does not equal 0Since we also know that
EITHER x = 0 OR x = -6, we can be certain that
x = -6Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: x² + 6x = 0Factor to get (x)(x + 6) = 0
This tells us that EITHER x = 0 OR x = -6
This doesn't help us at all, since we ALREADY knew that
EITHER x = 0 OR x = -6Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
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