Vincen wrote:Is a^2 + a > -b^2?
(1) a^2 + b^2 = 1
(2) a > 0
Statement 1:
The question stem can be rephrased as follows:
Is a² + b² > -a?
Substituting a² + b² = 1 into the rephrased question stem, we get:
Is 1 > -a?
Multiplying both sides by -1 and flipping the inequality symbol, we get:
Is -1 < a?
If a=-1 and b=0, the answer is NO.
If a=0 and b=1, the answer is YES.
INSUFFICIENT.
Statement 2:
-b² must be less than or equal to 0.
Since a>0, the question stem can be rephrased as follows:
Is (positive)² + (positive) > nonpositive?
Here, the answer is YES.
SUFFICIENT.
The correct answer is
B.
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