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ps - abs. value

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ps - abs. value [#permalink] New post 26 Sep 2005, 09:12
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Is sqrt((x-3)^2) = 3 - X ?

1) X <> 3
2) -X|X| > 0
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 [#permalink] New post 26 Sep 2005, 11:20
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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 [#permalink] New post 26 Sep 2005, 11:59
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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 [#permalink] New post 26 Sep 2005, 12:20
OA is D :-D
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 [#permalink] New post 26 Sep 2005, 12:25
... :roll:

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
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 [#permalink] New post 26 Sep 2005, 12:47
I dont normally say this...but OA is wrong...

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



christoph wrote:
... :roll:

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
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 [#permalink] New post 26 Sep 2005, 12:57
sorry, its a typo...i mean OA is B ! |x-3|=3-x for all x<0 !
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  [#permalink] 26 Sep 2005, 12:57
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