Question

solve the inequality and graph the solution.
8 + 7p ≥ 1
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 8 from both sides

$$8 + 7p-8\geq1 - 8$$
$$7p\geq - 7$$

Step2: Divide both sides by 7

$$\frac{7p}{7}\geq\frac{-7}{7}$$
$$p\geq - 1$$

Answer:

The solution of the inequality \(8 + 7p\geq1\) is \(p\geq - 1\). On the number - line, we plot a closed circle at \(-1\) (because the inequality is \(\geq\), so \(-1\) is included in the solution set) and draw a ray to the right.