1.
[tex]|5+6x|\ \textless \ 13\\\\-13\ \textless \ 5+6x\ \textless \ 13[/tex]
so
[tex]\begin{cases}5+6x\ \textless \ 13\\5+6x\ \textgreater \ -13\end{cases} [/tex]
Answers B and D.
2.
[tex]|x+9|\geq11\\\\x+9\ \textgreater \ 11\qquad\vee\qquad x+9\leq-11\\\\
\boxed{x\geq2\qquad\vee\qquad x\leq-20}[/tex]
Answer D.
3.
The same as point 2. Answer D.
4.
Answer C.
