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Re: If a^5b^3c^6 < 0, is abc < 0?

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fozzzy wrote:
If a^5b^3c^6 < 0, is abc < 0?

(1) b < 0
(2) c > 0

Any alternative solutions?


You can also do it so,

a^5b^3c^6 < 0 = (abc)^3 * a^2c^3 < 0

(1) b< 0 this doesn't tell us anything about the left hand side of the inequality

Insufficent

(2) c > 0 , now this means that the second term in the modified left hand side .. a^2c^3 >0. Thus the other term abc^3 < 0. This implies that
abc < 0

Sufficient

Thus the answer is B

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