Inequality problem

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Source: — Data Sufficiency |

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by kvcpk » Mon Jul 05, 2010 6:28 am
selango wrote:If n is not equal to 0, is |n| < 4 ?

(1) n2 > 16

(2) 1/|n| > n

OA A
|n|<4 means n lies between -4 and 4 on number line
given n not equal to zero.

n2 > 16 means n will lie on the less than side of -4 or the greater than side of 4 on the number line
...-7-6-5-4 or 4567..

Hence it will never fall between -4 and 4
SUFFICIENT.

1/|n| >n
n*|n|<1

if n>0, then
n^2<1 means n will lie in between -1 and 1.

if n<0, then
-n^2<1
n^2>-1
n can lie anywhere on the number line because n^2 is always GT 0
INSUFFICIENT.

pick A