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# What is x? (1) |x| < 2 (2) |x| = 3x 2 stat (1) has x <

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Director
Joined: 10 Feb 2006
Posts: 656
What is x? (1) |x| < 2 (2) |x| = 3x 2 stat (1) has x < [#permalink]

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24 Jun 2008, 07:56
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is x?

(1) |x| < 2

(2) |x| = 3x – 2

stat (1) has
x < 2
-x <2
x > -2

-2 < x < 2

could be any value

statement II:
x = 3x - 2 = -2x = -2 = x = 1
-x = 3x -2 = =- 4x = -2 = x = 1/2

insufficient.

both , insufficient.

I go with E. can someone concur. Thanks
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Director
Joined: 01 Jan 2008
Posts: 617

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24 Jun 2008, 08:35
statement II:
x = 3x - 2 = -2x = -2 = x = 1
-x = 3x -2 = =- 4x = -2 = x = 1/2

be careful, x = 1/2 is not a root because -x = 3x-2 for negative x -> there is only one root x = 1 -> sufficient -> B
Re: mgmt - modulus   [#permalink] 24 Jun 2008, 08:35
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# What is x? (1) |x| < 2 (2) |x| = 3x 2 stat (1) has x <

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