What is x?
(1) |x| < 2
(2) |x| = 3x - 2
Is from CAT 1, why is the answer B?
GMAT Forum
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- aliensoybean
- shaji
Re: is this DS wrong?
aliensoybean Wrote:What is x?
(1) |x| < 2
(2) |x| = 3x - 2
Is from CAT 1, why is the answer B?
NO!!!
Statement 1: x could be 1.5 0r -1.5 INSUFFICIENT
Statement 2: x=1 SUFFICIENT.
The correcanswer is B .
- RonPurewal
- Students
- Posts: 19744
- Joined: Tue Aug 14, 2007 8:23 am
yeah.
(1) translates to -2 < x < 2. if you can't make that translation automatically, then practice your absolute value inequalities until you can.
(2) write two equations (one with the right-hand side positive, the other with it negative), solve both, and check the solutions:
--- (a) x = 3x - 2 --> x = 1. plug back in --> works!
--- (b) x = -3x + 2 --> x = 1/2. plug back in --> doesn't work!
--- so the solution is only x = 1
--- sufficient
(1) translates to -2 < x < 2. if you can't make that translation automatically, then practice your absolute value inequalities until you can.
(2) write two equations (one with the right-hand side positive, the other with it negative), solve both, and check the solutions:
--- (a) x = 3x - 2 --> x = 1. plug back in --> works!
--- (b) x = -3x + 2 --> x = 1/2. plug back in --> doesn't work!
--- so the solution is only x = 1
--- sufficient
3 posts Page 1 of 1