The given expression is
[tex]|p+4|\leq8[/tex]
We have to use the following property
[tex]|x|\leq a\rightarrow-a\leq x\leq a[/tex]
So, using the property, we have
[tex]-8\leq p+4\leq8[/tex]
Then, we solve for p
[tex]\begin{gathered} -8-4\leq p\leq8-4 \\ -12\leq p\leq4 \end{gathered}[/tex]
The image below shows the graph of this solution.
