For this case we have the following inequality:
[tex]2|x + 13| \ \textless \ 9
[/tex]
Rewriting we have:
[tex]-9 \ \textless \ 2 (x + 13) \ \textless \ 9
[/tex]
We now solve each inequality:
[tex]-9/2 \ \textless \ (x + 13) \ \textless \ 9/2
[/tex]
[tex]-9 / 2-13 \ \textless \ x \ \textless \ 9 / 2-13
[/tex]
[tex]-9 / 2-26 / 2 \ \textless \ x \ \textless \ 9 / 2-26 / 2
[/tex]
[tex]-35/2 \ \textless \ x \ \textless \ -17/2
[/tex]
Thus, the solution is given by:
[tex](-35/2, -17/2)
[/tex]
See attached numeric line
Answer:
(-35/2, -17/2)
See attached image
