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is (sqrt. of (x-3)^2)= 3-x 1. x is not equal to 3

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Manager
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is (sqrt. of (x-3)^2)= 3-x 1. x is not equal to 3 [#permalink] New post 05 Oct 2006, 12:07
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A
B
C
D
E

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is (sqrt. of (x-3)^2)= 3-x

1. x is not equal to 3
2.-xlxl>0
Manager
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 [#permalink] New post 05 Oct 2006, 13:00
Will go with B.Assuming I got ur sqrt. right.That is sqrt((x-3)^2)
SVP
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 [#permalink] New post 05 Oct 2006, 13:18
is (sqrt. of (x-3)^2)= 3-x

1. x is not equal to 3
2.-xlxl>0

(sqrt. of (x-3)^2 = /X-3/

/X-3 / = 3-X IF AAND ONLY IF X-3< 0

FROM ONE X NOT= 3 NOT ENOUGH COULD BE < OR >

FROM TWO X < 0 ..SUFF
MY ANSWER IS B
Senior Manager
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 [#permalink] New post 05 Oct 2006, 15:35
Hi yezz, could you expand on this please:

/X-3 / = 3-X IF AAND ONLY IF X-3< 0

obviously i can prove the above picking numbers, but was wondering if it is a rule or can be derived somehow?

Thanks
Director
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 [#permalink] New post 05 Oct 2006, 20:11
E

Simplify the question to get
Is +/- (X-3) = 3-X?

Obviously, -(X-3) = 3-X

Statement 1: X=0 INSUFF
Statement 2: X= negative, but not information about X-3

Taken together, still insufficient.
Director
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 [#permalink] New post 05 Oct 2006, 20:18
My answer is also B.

From 2 we get x is negative and thus x-3 is negative.
Thus sqrt is 3-x
  [#permalink] 05 Oct 2006, 20:18
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