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# Is sqrt((x-3)^2) = 3-x? (1) x does not equal 3 (2)

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Current Student
Joined: 31 Aug 2007
Posts: 369
Is sqrt((x-3)^2) = 3-x? (1) x does not equal 3 (2) [#permalink]

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03 Nov 2007, 16:45
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Is sqrt((x-3)^2) = 3-x?

(1) x does not equal 3
(2) -x*abs(x)>0
VP
Joined: 10 Jun 2007
Posts: 1438

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03 Nov 2007, 23:30
young_gun wrote:
Is sqrt((x-3)^2) = 3-x?

(1) x does not equal 3
(2) -x*abs(x)>0

B.

Is |x-3| = 3-x?
Only true when x<=3

(1) x can equal to 4 or 2
INSUFFICIENT

(2) -x*|x| > 0
This is only true when x is negative since |x| is always positive. Therefore, x must be less than 3.
SUFFICIENT
Re: DS   [#permalink] 03 Nov 2007, 23:30
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