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# Is |x| < 1 (1) |x + 1| = 2|x -1| (2) |x - 3| <> 0

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Director
Joined: 06 Sep 2006
Posts: 736
Is |x| < 1 (1) |x + 1| = 2|x -1| (2) |x - 3| <> 0 [#permalink]

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05 Aug 2007, 09:06
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Is |x| < 1

(1) |x + 1| = 2|x -1|
(2) |x - 3| <> 0
Senior Manager
Joined: 04 Jun 2007
Posts: 345

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05 Aug 2007, 10:19
I get C for this one.

Stmt 1: There are 3 critical points.
x>1; -1<x<1; x<-1
Solving for each case, x=3 or 1/3. Insufficient.

Stmt 2: |x| ≠ 3. Insufficient.

Both together. x=1/3. sufficient.
05 Aug 2007, 10:19
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# Is |x| < 1 (1) |x + 1| = 2|x -1| (2) |x - 3| <> 0

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