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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If mn < 0 and k/m + l/n < mn, which of the following must be true ?

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Math Expert V
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If mn < 0 and k/m + l/n < mn, which of the following must be true ?  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 65% (01:42) correct 35% (01:44) wrong based on 109 sessions

HideShow timer Statistics If $$mn < 0$$ and $$\frac{k}{m} + \frac{l}{n} < mn$$, which of the following must be true ?

(A) $$km + ln < (mn)^2$$

(B) $$kn + lm < 1$$

(C) $$kn + lm > (mn)^2$$

(D) $$k + l > mn$$

(E) $$km > –ln$$

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Re: If mn < 0 and k/m + l/n < mn, which of the following must be true ?  [#permalink]

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Bunuel wrote:
If $$mn < 0$$ and $$\frac{k}{m} + \frac{l}{n} < mn$$, which of the following must be true ?

(A) $$km + ln < (mn)^2$$

(B) $$kn + lm < 1$$

(C) $$kn + lm > (mn)^2$$

(D) $$k + l > mn$$

(E) $$km > –ln$$

$$\frac{k}{m} + \frac{l}{n} < mn$$
Taking LCM and cross multiplying;
$$\frac{(kn+lm)}{mn}< mn$$
Transferring mn in denominator to RHS, since mn<0, < sign will be reversed to >
$$kn+lm>(mn)^2$$
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Re: If mn < 0 and k/m + l/n < mn, which of the following must be true ?  [#permalink]

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Bunuel wrote:
If $$mn < 0$$ and $$\frac{k}{m} + \frac{l}{n} < mn$$, which of the following must be true ?

(A) $$km + ln < (mn)^2$$

(B) $$kn + lm < 1$$

(C) $$kn + lm > (mn)^2$$

(D) $$k + l > mn$$

(E) $$km > –ln$$

$$mn < 0$$

either m or n is negative.

$$\frac{k}{m} + \frac{l}{n} < mn$$

mn^2 must be there in the answer but inequality sign must flip as one of them between m and n is negative. Re: If mn < 0 and k/m + l/n < mn, which of the following must be true ?   [#permalink] 27 Nov 2018, 18:51
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