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

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
If 1/(y – x) < 0, then which of the following must be true?  [#permalink]

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24 Jan 2019, 02:43
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Difficulty:

35% (medium)

Question Stats:

60% (00:55) correct 40% (00:56) wrong based on 45 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

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

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24 Jan 2019, 02:51
$$\frac{1}{y-x} < 0$$

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

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

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24 Jan 2019, 02:51
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.

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

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24 Jan 2019, 04:30
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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Joined: 15 Sep 2013
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Re: If 1/(y – x) < 0, then which of the following must be true?  [#permalink]

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24 Jan 2019, 05:53
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.
Re: If 1/(y – x) < 0, then which of the following must be true?   [#permalink] 24 Jan 2019, 05:53
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