If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n must be
A) less than -10
B) Between -1 and -1/10
C) between -1/10 and 10
D) between 0 and 1/10
E) Greater than 10
I understand the problem fairly well. n must be at least -1/11. But here's where I am confused: doesn't the reciprocal also mean the sign changes? So -1/11 becomes 11 so E should be the answer, but A is the answer. The only way A is correct is if the sign doesn't change. But when dealing with reciprocals of negative exponents, the sign changes. This is causing confusion for me.
A) less than -10
B) Between -1 and -1/10
C) between -1/10 and 10
D) between 0 and 1/10
E) Greater than 10
I understand the problem fairly well. n must be at least -1/11. But here's where I am confused: doesn't the reciprocal also mean the sign changes? So -1/11 becomes 11 so E should be the answer, but A is the answer. The only way A is correct is if the sign doesn't change. But when dealing with reciprocals of negative exponents, the sign changes. This is causing confusion for me.
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