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

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Manager
Joined: 05 Jul 2006
Posts: 198
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is (sqrt. of (x-3)^2)= 3-x 1. x is not equal to 3 [#permalink]  05 Oct 2006, 12:07
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is (sqrt. of (x-3)^2)= 3-x

1. x is not equal to 3
2.-xlxl>0
Manager
Joined: 31 Aug 2006
Posts: 213
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Kudos [?]: 2 [0], given: 0

[#permalink]  05 Oct 2006, 13:00
Will go with B.Assuming I got ur sqrt. right.That is sqrt((x-3)^2)
SVP
Joined: 05 Jul 2006
Posts: 1519
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Kudos [?]: 115 [0], given: 39

[#permalink]  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
Joined: 30 Aug 2006
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[#permalink]  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
Joined: 23 Jun 2005
Posts: 847
GMAT 1: 740 Q48 V42
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[#permalink]  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
Joined: 01 Oct 2006
Posts: 500
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[#permalink]  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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# is (sqrt. of (x-3)^2)= 3-x 1. x is not equal to 3

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