#### Answer

$-5\le x\lt7$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Use the properties of inequality to solve the given inequality, $
-3\le x+2\lt9
.$ Then graph.
In the graph above, a hollowed dot is used for $\lt$ or $\gt$. A shaded dot is used for $\le$ or $\ge.$
$\bf{\text{Solution Details:}}$
Using the properties of inequality, the given equation is equivalent to
\begin{array}{l}\require{cancel}
-3\le x+2\lt9
\\\\
-3-2\le x+2-2\lt9-2
\\\\
-5\le x\lt7
.\end{array}
The graph includes the points from $-5$ (inclusive) to $7$ exclusive.