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# is |x-3|=|3-x|? 1) X not equal to 3 2)-x|x|<0

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is |x-3|=|3-x|? 1) X not equal to 3 2)-x|x|<0 [#permalink]

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18 May 2008, 07:20
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is |x-3|=|3-x|?

1) X not equal to 3
2)-x|x|<0
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Joined: 10 Jun 2007
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18 May 2008, 07:38
fresinha12 wrote:
is |x-3|=|3-x|?

1) X not equal to 3
2)-x|x|<0

Strange one bud...
Isn't |x-3|=|3-x| is always true?
Senior Manager
Joined: 20 Feb 2008
Posts: 296
Location: Bangalore, India
Schools: R1:Cornell, Yale, NYU. R2: Haas, MIT, Ross
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18 May 2008, 07:40
My answer is D; whats the catch?

Stat 1 x not equal to 3

x=6
|6-3|=|3-6|,
X=10
|10-3|=|3-10|

x=.3
|0.3-3|=|3-0.3|
Sufficient
Stat 2
-x|x|<0 ; therefore x<0

|-4-3|=|3-(-4)|

|-5-3|=|3-(-5)|

Sufficient
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18 May 2008, 07:41
bkk145 wrote:
fresinha12 wrote:
is |x-3|=|3-x|?

1) X not equal to 3
2)-x|x|<0

Strange one bud...
Isn't |x-3|=|3-x| is always true?

exactly. thats what i was wondering...
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Current Student
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18 May 2008, 08:00
yeah..thats what i was stumped about too...

OA is D..
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29 May 2008, 03:59
fresinha12 wrote:
is |x-3|=|3-x|?

1) X not equal to 3
2)-x|x|<0

hi fresinha

statement 1 is not suff
because if u take x=0 then the they are equal
x=1 then they are equal
but when x=-1 then they are not equal

statement 2 is suff
it states that x<0 so they are never equal

Re: DS   [#permalink] 29 May 2008, 03:59
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# is |x-3|=|3-x|? 1) X not equal to 3 2)-x|x|<0

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