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If 13.5/((1/x)−1.1)=−10 , then x =

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Director
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Joined: 18 Feb 2019
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GMAT 1: 460 Q42 V13
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If 13.5/((1/x)−1.1)=−10 , then x =  [#permalink]

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New post 26 Mar 2019, 00:58
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

89% (01:37) correct 11% (02:04) wrong based on 28 sessions

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If 13.5/((1/x)−1.1)=−10 , then x =

A. -4
B. -2
C. 2
D. 4
E. 5
Intern
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Re: If 13.5/((1/x)−1.1)=−10 , then x =  [#permalink]

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New post 26 Mar 2019, 01:07
1
given 13.5/((1/x)−1.1)=−10
==> 13.5x/(1-1.1x)=−10
==> 13.5x = −10+11x
==> 13.5x-11x = -10
==> 2.5x = -10
==> x= -10/2.5
==> x= -4

OA: (A)
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If 13.5/((1/x)−1.1)=−10 , then x =  [#permalink]

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New post 07 Apr 2019, 13:03
Went through several thoughts, before realizing, a simple way to find the solution.

First, the result of the equations is "-10":

So when you look at the answers D, & E will result in a positive solution, can eliminate.

B & C,

plug in 2 or negative 2, and it will give you ".5 - 1.1" or -.5-1.1, which is not going to result in - 10 ( I did not complete the math), so only leaves answer choice A.
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If 13.5/((1/x)−1.1)=−10 , then x =  [#permalink]

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New post 07 Apr 2019, 14:15
kapstone1996 wrote:
Went through several thoughts, before realizing, a simple way to find the solution.

First, the result of the equations is "-10":

So when you look at the answers D, & E will result in a positive solution, can eliminate.

B & C,

plug in 2 or negative 2, and it will give you ".5 - 1.1" or -.5-1.1, which is not going to result in - 10 ( I did not complete the math), so only leaves answer choice A.


I'm going to piggy back off of your solution.

You can also realize that for \(\frac{13.5}{((1/x)-1.1)}\) to equal a negative, the term \(\frac{1}{x}-1.1\) must be < 0.

Thus, \(\frac{1}{x} < 1.1\) where you can eliminate C, D and E.
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If 13.5/((1/x)−1.1)=−10 , then x =   [#permalink] 07 Apr 2019, 14:15
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