Answer
$\text{Set Builder Notation: }
\{ x|x\ge-17 \}
\\\text{Interval Notation: }
[-17,\infty)$
Work Step by Step
Using the properties of inequality, then
\begin{array}{l}\require{cancel}
x+9\ge-8
\\\\
x\ge-8-9
\\\\
x\ge-17
.\end{array}
Hence, the solution set is
\begin{array}{l}\require{cancel}
\text{Set Builder Notation: }
\{ x|x\ge-17 \}
\\\text{Interval Notation: }
[-17,\infty)
.\end{array}
In the graph, a hollowed dot is used for $\lt$ or $\gt.$ A solid dot is used for $\le$ or $\ge.$