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Founder  Joined: 18 Apr 2015
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Which of the following inequalities is equivalent to [#permalink]
Expert's post 00:00

Question Stats: 36% (00:44) correct 63% (00:52) wrong based on 33 sessions
Which of the following inequalities is equivalent to$$-\frac{a}{3b} < c$$ for all non-zero values of a, b, and c?

Indicate all such inequalities.

A. $$\frac{a}{b} > -3c$$

B. $$\frac{-a}{3} < bc$$

C. $$a > -3bc$$
[Reveal] Spoiler: OA

_________________ Director Joined: 20 Apr 2016
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Re: Which of the following inequalities is equivalent to [#permalink]
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Carcass wrote:
Which of the following inequalities is equivalent to $$-\frac{a}{3b} < c$$ for all non-zero values of a, b, and c?

Indicate all such inequalities.

A. $$\frac{a}{b} > -3c$$

B. $$\frac{-a}{3} < bc$$

C. $$a > -3bc$$

Here

$$-\frac{a}{3b} < c$$

or we can write as : $$\frac{a}{b} > -3c$$ which is the only correct answer and is always true.

For the option B and option C, we donot know the sign of the variable b and c. They could be either positive or negative. So we cannot assume to be positive unless it is mentioned.

Hence option A is the only correct answer
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Re: Which of the following inequalities is equivalent to [#permalink]
as because of the non-zero character of a,b,c option B and C are not correct. Re: Which of the following inequalities is equivalent to   [#permalink] 13 Jun 2019, 08:33
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