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# ps - abs. value

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VP
Joined: 30 Sep 2004
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ps - abs. value [#permalink]

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26 Sep 2005, 10:12
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Is sqrt((x-3)^2) = 3 - X ?

1) X <> 3
2) -X|X| > 0
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Kudos [?]: 411 [0], given: 0

Manager
Joined: 07 Oct 2004
Posts: 99

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26 Sep 2005, 12:20
Not great at absolute value, but I go B,

Statement 1 insufficient since x=2,4 yields different answers.

Statement 2 sufficient. Statement reduces to x<0. Stem is equal in all cases x<0.

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Current Student
Joined: 28 Dec 2004
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Location: New York City
Schools: Wharton'11 HBS'12

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26 Sep 2005, 12:59
yup b for me too...

we need to know if X is <0

for all values less than <0

say -7-3=(-10)^2=100, sqrt(100)=10

10=3--7=10

OK

but if X=7

(7-3)=4^2 sqrt(16)=4

3-7=-4

not the same, so we need to know if X is negative or less than 3...

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VP
Joined: 30 Sep 2004
Posts: 1480

Kudos [?]: 411 [0], given: 0

Location: Germany

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26 Sep 2005, 13:20
OA is D
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Kudos [?]: 411 [0], given: 0

VP
Joined: 30 Sep 2004
Posts: 1480

Kudos [?]: 411 [0], given: 0

Location: Germany

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26 Sep 2005, 13:25
...

btw sqrt((x-3)^2)=3-x => |x-3|=3-x the question is asking wether 3-x is +ve

1) insuff
2) suff it says x is -ve
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Kudos [?]: 411 [0], given: 0

Current Student
Joined: 28 Dec 2004
Posts: 3351

Kudos [?]: 319 [0], given: 2

Location: New York City
Schools: Wharton'11 HBS'12

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26 Sep 2005, 13:47
I dont normally say this...but OA is wrong...

pick 7 and -7 for values of X you get different answers...

christoph wrote:
...

btw sqrt((x-3)^2)=3-x => |x-3|=3-x the question is asking wether 3-x is +ve

1) insuff
2) suff it says x is -ve

Kudos [?]: 319 [0], given: 2

VP
Joined: 30 Sep 2004
Posts: 1480

Kudos [?]: 411 [0], given: 0

Location: Germany

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26 Sep 2005, 13:57
sorry, its a typo...i mean OA is B ! |x-3|=3-x for all x<0 !
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Kudos [?]: 411 [0], given: 0

26 Sep 2005, 13:57
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# ps - abs. value

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