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If 1/(y – x) < 0, then which of the following must be true?

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If 1/(y – x) < 0, then which of the following must be true?  [#permalink]

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New post 24 Jan 2019, 01:43
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

58% (00:47) correct 42% (00:49) wrong based on 31 sessions

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If \(\frac{1}{y – x}< 0\), then which of the following must be true?

A y > 0
B x > 0
C xy > 0
D y > x
E x > y
Spoiler: OA

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Re: If 1/(y – x) < 0, then which of the following must be true?  [#permalink]

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New post 24 Jan 2019, 01:51
\(\frac{1}{y-x} < 0\)

Then y-x<0
or y<x
or x>y

E is the answer.
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Re: If 1/(y – x) < 0, then which of the following must be true?  [#permalink]

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New post 24 Jan 2019, 01:51
Bunuel wrote:
If \(\frac{1}{y – x}< 0\), then which of the following must be true?

A y > 0
B x > 0
C xy > 0
D y > x
E x > y


Given,

\(\frac{1}{y – x}< 0\)

y - x <0

x>y.

E is the correct answer.
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Re: If 1/(y – x) < 0, then which of the following must be true?  [#permalink]

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New post 24 Jan 2019, 03:30
Bunuel wrote:
If \(\frac{1}{y – x}< 0\), then which of the following must be true?

A y > 0
B x > 0
C xy > 0
D y > x
E x > y


relation would hold true only when x>y
IMO E
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Re: If 1/(y – x) < 0, then which of the following must be true?  [#permalink]

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New post 24 Jan 2019, 04:53
IMO E. x>y. Since the fraction is negative, the numerator and denominator must have different sign. Since numerator is positive, denominator must be negative ie. y-x<0, y<x.
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Re: If 1/(y – x) < 0, then which of the following must be true?   [#permalink] 24 Jan 2019, 04:53
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