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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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Question Stats:

71% (01:24) correct 29% (01:18) wrong based on 258 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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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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 17 Sep 2018, 07:39
chetan2u what is mod of 0? Is it zero or undefined?
If its undefined, why do we say that |x| >=0. I think i am getting confused between 2 things.
Please advise
Thanks in advance
Siddharth
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Re: (|x| - 1)/(x - 1) =?  [#permalink]

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New post 17 Sep 2018, 08:06
Sidbendale1 wrote:
chetan2u what is mod of 0? Is it zero or undefined?
If its undefined, why do we say that |x| >=0. I think i am getting confused between 2 things.
Please advise
Thanks in advance
Siddharth



Siddharth,

|0|=0, it is not undefined..
Modulus just removes the negative sign
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: (|x| - 1)/(x - 1) =? &nbs [#permalink] 17 Sep 2018, 08:06
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