Problem Solving

Hi there,

Could you give me your ELEGANT, QUICK, and EFFICIENT method to resolve (with these concepts and with finding the solution).

If n denotes a number to the left of 0 on the number line such that the square of n is less that 1/100, then
the reciprocal of n must be

A) less than -10
B) between -1 and -1/10
C) between -1/10 and 0
D) between 0 and 1/10
E) greater than 10

A,

-1/11, -1/12 .....

reciprocal =-11, -12, ------