Question

solve the inequality and graph the solution.
3 - 3p ≤ 6
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Subtract 3 from both sides

$3 - 3p-3\leq6 - 3$
$-3p\leq3$

Step2: Divide both sides by - 3 and reverse the inequality sign

Since dividing by a negative number reverses the inequality, $\frac{-3p}{-3}\geq\frac{3}{-3}$
$p\geq - 1$

Answer:

The solution of the inequality is $p\geq - 1$. On the number - line, we plot a closed circle at $p=-1$ (because the inequality is $\geq$) and draw a ray to the right.