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

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Director
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What is x? (1) |x| < 2 (2) |x| = 3x 2 [#permalink]  21 Jun 2008, 13:44
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What is x?

(1) |x| < 2

(2) |x| = 3x – 2
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Re: mgmat: what is x? [#permalink]  21 Jun 2008, 19:04
gmatnub wrote:
What is x?

(1) |x| < 2

(2) |x| = 3x – 2

Statement 1, -2<x<2 no specific value for x; therefore, insufficient
Statement 2, x=1 or 1/2 no specific value for x; therefore, insufficient
Together, still cannot find a single value, insufficient
Answer should be E
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Re: mgmat: what is x? [#permalink]  21 Jun 2008, 21:32
gmatnub wrote:
What is x?

(1) |x| < 2

(2) |x| = 3x – 2

B

x>0, x = 3x-2 =>x = 1
x<0, x = -(3x-2) => x = 1/2, no soln.

so x = 1.
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Re: mgmat: what is x? [#permalink]  22 Jun 2008, 05:12
i will get B..

|x|=3x-2

x>0

x-3x=-2
-2x=-2 x=1

if x<0
-x-3x=-2
-4x=-2
x=1/2 <-- cant be since x<0...

x=1
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Re: mgmat: what is x? [#permalink]  22 Jun 2008, 05:39
I did not understand you explanation completely .....
I think the ans should be E.
Statement 1 - -2<x<2
Statement 2 - x=1 or x=1/2

Both the statements together will still not give a unique ans ...... hence E
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Re: mgmat: what is x? [#permalink]  22 Jun 2008, 06:18
gmatnub wrote:
What is x?

(1) |x| < 2

(2) |x| = 3x – 2

From 1) x can by many...insuf

From 2) x can be either 1 or 1/2..insuf

Both x can be either 1 or 1/2. so Insuf. E is the answer.

Last edited by clubzzang on 22 Jun 2008, 07:25, edited 1 time in total.
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Re: mgmat: what is x? [#permalink]  22 Jun 2008, 06:19
IMO E,
coz x could be 1/2 or 1.
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Re: mgmat: what is x? [#permalink]  22 Jun 2008, 10:17
X cannot be 1/2 as u r assuming x<0 for that condition ...its not a solution...
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Re: mgmat: what is x? [#permalink]  22 Jun 2008, 17:50
I still don't quite understand the explanation......
When we equate for x<0, its just a substitution and any value we get from it is the ans .... irrespective of whether its +ve or -ve
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Re: mgmat: what is x? [#permalink]  22 Jun 2008, 23:54
1: NOT SUF
2:
x<0 ==> x=1/2: Controversially
x>0 ==> x=1: OK
x=0 ==> 2=0: Controversially

So 2 is Suf.

B must be correct.
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Re: mgmat: what is x? [#permalink]  23 Jun 2008, 10:11
X can be a fraction or integer, question does not say anything about "x"...

Ans should E.
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Re: mgmat: what is x? [#permalink]  23 Jun 2008, 10:15
gmatnub wrote:
What is x?

(1) |x| < 2

(2) |x| = 3x – 2

B.

X=3x-2 ---> x=1

Or

-x=3x-2 --> x=1/2

But 1/2= 3/2-2??? No!!!
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Re: mgmat: what is x? [#permalink]  23 Jun 2008, 10:33
It should be B!
What is OA?
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Re: mgmat: what is x? [#permalink]  23 Jun 2008, 12:17
if x=1/2 were a solution then it would satify the equation.right?
Then why dont you check whether it satifies the eqn?

saurabhkowley18 wrote:
I still don't quite understand the explanation......
When we equate for x<0, its just a substitution and any value we get from it is the ans .... irrespective of whether its +ve or -ve
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Re: mgmat: what is x? [#permalink]  24 Jun 2008, 00:27
rajesh04 wrote:
X can be a fraction or integer, question does not say anything about "x"...

Ans should E.

Nope. 1 is the only number (integer, fraction, anything) that satisfies equation (2).

Answer is therefore (B)
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Re: mgmat: what is x? [#permalink]  24 Jun 2008, 08:30
The official answer is B.
Re: mgmat: what is x?   [#permalink] 24 Jun 2008, 08:30
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