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# If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2)

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Senior Manager
Joined: 05 Oct 2008
Posts: 263
If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2) [#permalink]

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14 Dec 2008, 06:35
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Question Stats:

50% (01:50) correct 50% (01:25) wrong based on 8 sessions

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If n is not equal to 0, is |n| < 4 ?

(1) n^2 > 16

(2) 1/|n| > n

Last edited by study on 16 Dec 2008, 11:23, edited 1 time in total.
Manager
Joined: 10 Aug 2008
Posts: 73

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14 Dec 2008, 07:08
Fst statemnet
n^2 > 16 means
So legal values of n can be
n > 4 or n < -4
Results |n| > 4

2nd statement
1/|n| > n
=> 1 > n |n| it implies
n < 1
means |n| can also be > 4

so both statement dont conclude the answer.
Manager
Joined: 23 Nov 2008
Posts: 79

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14 Dec 2008, 08:33
If n is not equal to 0, is |n| < 4 ?

(1) n2 > 16
(2) 1/|n| > n

1) conslusively proves that |n| < 4 is not correct.... => SUFF
2) plugging values, |n| could be 3 or 8 (for n -3 or -8)....=> INSUFF

SVP
Joined: 29 Aug 2007
Posts: 2457

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14 Dec 2008, 11:31
study wrote:
If n is not equal to 0, is |n| < 4 ?

(1) n2 > 16
(2) 1/|n| > n

Agree with A..

1: n^2 > 16
n> l4l so suff..

2: 1/|n| > n

n could be -ve or +ve fraction. nsf..
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Re: Inequalities   [#permalink] 14 Dec 2008, 11:31
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