Bunuel wrote:
Is uv > 0?
(1) u²v³ < 0
(2) uv² < 0
Target question: Is uv > 0? Statement 1: u²v³ < 0 Since u²v² must be POSITIVE, we can divide both sides of the inequality by u²v² to get: v < 0
We now know that
v is NEGATIVE, but we don't know anything about u.
So there's no way to answer the
target question with certainty
Statement 1 is NOT SUFFICIENT
Statement 2: uv² < 0Since v² must be POSITIVE, we can divide both sides of the inequality by v² to get: u < 0
We now know that
u is NEGATIVE, but we don't know anything about v.
So there's no way to answer the
target question with certainty
Statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined Statement 1 tells us that
v is NEGATIVEStatement 2 tells us that
u is NEGATIVESo, the product uv = (NEGATIVE)(NEGATIVE) = POSITIVE
In other words,
uv > 0Since we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
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