number line

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number line

by teejaycrown » Fri Nov 02, 2012 10:55 pm
if n denotes a number to the left of 0 in the number line such that the square of n is less than the 1/100, then the reciprocal of n must be

a < -10
b between -1 and - 1/10
c. between -1/10 and 0
d between 0 and 1/10
e. > 10

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by Anurag@Gurome » Fri Nov 02, 2012 10:59 pm
teejaycrown wrote:if n denotes a number to the left of 0 in the number line such that the square of n is less than the 1/100, then the reciprocal of n must be

a < -10
b between -1 and - 1/10
c. between -1/10 and 0
d between 0 and 1/10
e. > 10
n is to the left of 0 on the number line, i.e. n < 0
As n² < 1/100, n lies between -1/10 and 1/10

Hence, -1/10 < n < 0
--> 1/n < -10

The correct answer is A.
Anurag Mairal, Ph.D., MBA
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