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Which of the following inequalities is equivalent to

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Which of the following inequalities is equivalent to [#permalink] New post 12 Aug 2018, 03:18
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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

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Re: Which of the following inequalities is equivalent to [#permalink] New post 12 Aug 2018, 03:59
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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] 12 Aug 2018, 03:59
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Which of the following inequalities is equivalent to

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