Question

Solve the inequality. Graph the solution. 2∣∣x+13∣∣<9

Answer 1

For this case we have the following inequality:

`2|x + 13| \ \textless \ 9`
Rewriting we have:

`-9 \ \textless \ 2 (x + 13) \ \textless \ 9`
We now solve each inequality:

`-9/2 \ \textless \ (x + 13) \ \textless \ 9/2`

`-9 / 2-13 \ \textless \ x \ \textless \ 9 / 2-13`

`-9 / 2-26 / 2 \ \textless \ x \ \textless \ 9 / 2-26 / 2`

`-35/2 \ \textless \ x \ \textless \ -17/2`
Thus, the solution is given by:

`(-35/2, -17/2)`
See attached numeric line
Answer:
(-35/2, -17/2)
See attached image