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(|x| - 1)/(x - 1) =?

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Intern
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(|x| - 1)/(x - 1) =?  [#permalink]

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New post 13 Jan 2016, 23:36
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Difficulty:

  35% (medium)

Question Stats:

67% (01:04) correct 33% (01:11) wrong based on 180 sessions

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(|x| - 1)/(x - 1) =?

(1) x < 0
(2) |x| = -x
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Re: (|x| - 1)/(x - 1) =?  [#permalink]

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New post 14 Jan 2016, 00:08
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3
fattty wrote:
(|x| - 1)/(x - 1) =?

(1) x < 0
(2) |x| = -x


Hi,
if we look at the eq..
(|x| - 1)/(x - 1) ..

the value depends on :-
1) if x is 0 or +ive, ans is 1, irrespective of value of x..
2) if x is -ive, the value of denominator and numerator changes, and the equations value will depend on value of x..

lets see the statements now..
(1) x < 0
here x is negative , so the value depends on value of x.. insuff

(2) |x| = -x
again value of x is -ive.. insuff..

combined .nothing new.. insuff
E..

just for knowledge...
Why x is -ive in statement 2..
|x| = -x..
The LHS is positive because it is absolute mod, so RHS will also be positive..
RHS=-x... now -x will become positive only when x is -ive

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Re: (|x| - 1)/(x - 1) =?  [#permalink]

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New post 13 Jul 2017, 03:37
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Re: (|x| - 1)/(x - 1) =?  [#permalink]

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New post 13 Jul 2017, 04:10
fattty wrote:
(|x| - 1)/(x - 1) =?

(1) x < 0
(2) |x| = -x



Given : Nothing
DS : (|x| - 1)/(x - 1) =?

Option 1: x < 0 ,
So, |x| = -x
(|x| - 1)/(x - 1) = (-x-1)/(x-1)
NOT SUFFICIENT

Option 2: |x| = -x
(|x| - 1)/(x - 1) = (-x-1)/(x-1)
NOT SUFFICIENT

Answer E

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Re: (|x| - 1)/(x - 1) =?  [#permalink]

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New post 25 Jul 2018, 10:31
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: (|x| - 1)/(x - 1) =? &nbs [#permalink] 25 Jul 2018, 10:31
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