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If x < y < -1, which of the following is true?

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If x < y < -1, which of the following is true?  [#permalink]

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New post 14 Aug 2018, 02:50
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A
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C
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Question Stats:

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If \(x < y < -1\), which of the following is true?


A. \(\frac{x}{y} > xy\)

B. \(\frac{y}{x} > x+y\)

C. \(\frac{y}{x} > xy\)

D. \(\frac{y}{x} < x+y\)

E. \(\frac{y}{x} > \frac{x}{y}\)

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If x < y < -1, which of the following is true?  [#permalink]

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New post 14 Aug 2018, 03:11
Bunuel wrote:
If \(x < y < -1\), which of the following is true?


A. \(\frac{x}{y} > xy\)

B. \(\frac{y}{x} > x+y\)

C. \(\frac{y}{x} > xy\)

D. \(\frac{y}{x} < x+y\)

E. \(\frac{y}{x} > \frac{x}{y}\)


We should staraightaway check with option by assuming several values of x and y and judging the property of outcome

x < y < -1

Let, x = -3 and y = -2

A. \(\frac{x}{y} > xy\) x/y = 1.5 and xy = 6 hence Incorrect option

B. \(\frac{y}{x} > x+y\) y/x = 2/3 (Always Positive) and x+y = -5 (Always Negative) hence Correct option

C. \(\frac{y}{x} > xy\)

D. \(\frac{y}{x} < x+y\)

E. \(\frac{y}{x} > \frac{x}{y}\)[/quote]


Answer: option B
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Re: If x < y < -1, which of the following is true?  [#permalink]

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New post 14 Aug 2018, 03:22
Bunuel wrote:
If \(x < y < -1\), which of the following is true?


A. \(\frac{x}{y} > xy\)

B. \(\frac{y}{x} > x+y\)

C. \(\frac{y}{x} > xy\)

D. \(\frac{y}{x} < x+y\)

E. \(\frac{y}{x} > \frac{x}{y}\)


Here x<y and both are negative.

option (B) LHS : y/x >0 , RHS: x+y <0
So, \(\frac{y}{x} > x+y\)

Ans. (B)
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Re: If x < y < -1, which of the following is true?  [#permalink]

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New post 14 Aug 2018, 04:40
If x<y<−1x<y<−1, which of the following is true?


A. xy>xyxy>xy

B. yx>x+yyx>x+y

C. yx>xyyx>xy

D. yx<x+yyx<x+y

E. yx>xyyx>xy

+ B. consider values for x= -4, y=-2 check for all options only B suffices
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Re: If x < y < -1, which of the following is true? &nbs [#permalink] 14 Aug 2018, 04:40
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