Answer
$ b\gt -26$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -4 \lt \frac{b}{2}+9$
Subtract $9$ from each side.
$\Rightarrow -4-9 \lt \frac{b}{2}+9-9$
Simplify.
$\Rightarrow -13 \lt \frac{b}{2}$
Multiply each side by $2$.
$\Rightarrow 2(-13) \lt 2(\frac{b}{2})$
Simplify.
$\Rightarrow -26 \lt b$
Hence, the solution is $ b\gt -26$.
Use an open circle because $-26$ is not a solution.
Shade the number line on the right side.
