Problem Solving (PS) | Re: If n denotes a number to the left of 0 on the number line such that

i dont get your point bangolarian
we have n^2 < 100 so -1/10 < n < 1/10
how you got n < - 1/10

Refer to my previous post:

We have\(n<0\) and\(n^2<\frac{1}{100}\)

\(n^2<\frac{1}{100}\) -->\(-\frac{1}{10}<n<\frac{1}{10}\) , but as\(n<0\) -->\(-\frac{1}{10}<n<0\) .

Multiply the inequality by\(-\frac{10}{n}\) , (note as\(n<0\) expression\(-\frac{10}{n}>0\) , and we don't have to switch signs) -->\((-\frac{1}{10})*(-\frac{10}{n})<n*(-\frac{10}{n})<0*(-\frac{10}{n})\) --> so finally we'll get\(\frac{1}{n}<-10<0\) . OR\(\frac{1}{n}<-10\) .

Answer: A.

Hope ithelps.