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Is |n| < 1 ? (1) nx n < 0 (2) x 1 = 2

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Director
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Is |n| < 1 ? (1) nx n < 0 (2) x 1 = 2 [#permalink] New post 29 Dec 2006, 16:36
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A
B
C
D
E

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Is |n| < 1 ?

(1) nx – n < 0

(2) x–1 = –2
Senior Manager
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 [#permalink] New post 29 Dec 2006, 16:46
E

try n=1/2 and n=2 with x=-1

both values saisfy both st1 and st2, but give different answer to question.
hence insufficient.
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 [#permalink] New post 29 Dec 2006, 16:46
Looks like the answer is E. Both together are insufficient.

1) Without knowing anything about the value of x, this is insufficient.
2) Tells you that x = -1, but nothing else. So insufficient.

1 & 2) By using the value of x in the inequality, we get n > 0. Insufficient.

Are you sure you copied this problem correctly? There's a problem on the first page of the Manhattan GMAT site that's similar to this except x is an exponent in statement 1 and -1 is an exponent in statement 2.
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Re: DS Prob [#permalink] New post 29 Dec 2006, 16:54
ggarr wrote:
Is |n| < 1 ?

(1) nx – n < 0

(2) x–1 = –2


From (I) n(x-1) < 0 then

either n<0 and (x-1)>0
or n>0 and (x-1) <0

INSUFF

From(2) x-1 = -2 INSUFF

From(I) and (II) we can derive that n is +ve since (x-1) =-2

But we cannot say if n<1 or >1

So E
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 [#permalink] New post 31 Dec 2006, 00:37
Yep. Even if we use (1) and (2) together, |n| could be < or > 1. Thus E.
  [#permalink] 31 Dec 2006, 00:37
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