Answer:
less than -10
Step-by-step explanation:
Given that ...
n^2 < 1/100 . . . . . and n < 0
|n| < 1/10 . . . . . square root
At face value, this requires n be within 1/10 of zero. However, there is an additional restriction in the problem statement.
-1/10 < n < 0 . . . . range of n stops at 0 due to the restriction on its value
-10 > 1/n . . . . . . . . . reciprocal changes the sense of the comparison
The reciprocal of n must be less than -10.
