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Which of the following inequalities is equivalent to
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12 Aug 2018, 03:18
12 Aug 2018, 03:18
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Question Stats:
45% (00:58) correct
54% (00:59) wrong based on 179 sessions
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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. \(a > -3bc\)
Indicate all such inequalities.
A. \(\frac{a}{b} > -3c\)
B. \(\frac{-a}{3} < bc\)
C. \(a > -3bc\)
Re: Which of the following inequalities is equivalent to
[#permalink]
12 Aug 2018, 03:59
12 Aug 2018, 03:59
3
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. \(a > -3bc\)
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
Re: Which of the following inequalities is equivalent to
[#permalink]
13 Jun 2019, 08:33
13 Jun 2019, 08:33
as because of the non-zero character of a,b,c option B and C are not correct.
