Is |x| < 1?

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Is |x| < 1?

by erjamit » Fri Jul 18, 2008 10:11 am
Is |x| < 1?
(1) |x| = 2|x - 1|
(2) |x-3| &#8800; 0

OA C

I would appreciate if someone can also suggest what approach should be followed for solving similar questions.

Thanks
Amit

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by Canman » Fri Jul 18, 2008 11:57 am
I can get started but I can't get to the OA you listed...hopefully someone else can take it all the way home...

1) Tells us that x=2 or x=2/3

|x|=2|x-1| ---> |x|/|x-1|=2
so...
x / (x+1) = 2 so x=2 or...
x / (x+1) = -2 so x=2/3 -- INSUF

2) I think this tells us that x != 3, which is also INSUF

1+2 Together I still can't choose 2 or 2/3

Where am I off?

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by iwill » Fri Jul 18, 2008 8:22 pm
My take is E.

1) |x| = 2|x-1| --> 2|x-1| <1> upon substituting 1 , 2 wont be able to get any conclusion. Insufficient.

2) INSUFFICIENT.

I dont think combining 1 & 2 , we can reach to any conclusion.

am i right ?

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by raunekk » Fri Jul 18, 2008 9:22 pm
hi erjamit..

there is a problem with the sum...

ITs (1) |x + 1| = 2|x - 1|


and not |x| = 2|x - 1|

Thx!!!





PS:
Please type the sum correctly so that others dont waste their time.

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by erjamit » Fri Jul 18, 2008 9:32 pm
@raunekk

I had copied the exact question from the old GMAT sets which I have. I know time is preciou and in no way I want to waste it. Also, I was solving the same question.

nyways thanks for letting me know the question had some missing portion in it..

Thanks
Amit

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by raunekk » Fri Jul 18, 2008 10:27 pm
hi erjamit,

i guess this is the sum u are looking for...


https://www.urch.com/forums/gmat-data-su ... x-1-a.html


thanks!!

All the best!!

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by erjamit » Fri Jul 18, 2008 10:32 pm
I had seen this earlier but couldn't make out that there was an error in the question..

Thanks
Amit