Answer
$ w\geq -3$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 7w+12\geq 2w-3$
Add $-2w-12$ to each side.
$\Rightarrow 7w+12-2w-12\geq 2w-3-2w-12$
Simplify.
$\Rightarrow 5w\geq -15$
Divide each side by $5$.
$\Rightarrow \frac{5w}{5}\geq \frac{-15}{5}$
Simplify.
$\Rightarrow w\geq -3$
Hence, the solution is $ w\geq -3$.
Use a close circle because $-3$ is a solution.
Shade the number line on the right side.
