Question

The three sides of a triangle measure 4, 13, and n. What is the range of possible lengths of n?

4 < n < 13
4 < n < 17
9 < n < 17
9 < n < 22

Answer 1

it is 9 < n < 17 that's the answer

Answer 2

`\begin{cases} 4+13 \ \textgreater \ n \\ 4+n \ \textgreater \ 13 \\ 13+n \ \textgreater \ 4 \end{cases} \\ \\ \begin{cases}17 \ \textgreater \ n \\ n \ \textgreater \ 9 \\ n \ \textgreater \ -9 \end{cases} \\ \\ n\in (9,17)`