Answer
The correct graph is $A.$
Work Step by Step
The given inequality is
$\Rightarrow 4p+4\geq 12$
Subtract $4$ from each side.
$\Rightarrow 4p+4-4\geq 12-4$
Simplify.
$\Rightarrow 4p\geq 8$
Divide each side by $4$.
$\Rightarrow \frac{4p}{4}\geq \frac{8}{4}$
Simplify.
$\Rightarrow p\geq 2$
The solution is $ p\geq 2$.
Use a close circle because $2$ is a solution.
Shade the number line on the right side.
Hence, the correct graph is $A.$
