Question

solve the inequality and graph the solution.
-12 + 8m ≥ 4
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Add 12 to both sides

$$\begin{align*} -12 + 8m+12&\geq4 + 12\\ 8m&\geq16 \end{align*}$$

Step2: Divide both sides by 8

$$\begin{align*} \frac{8m}{8}&\geq\frac{16}{8}\\ m&\geq2 \end{align*}$$

To graph the solution \(m\geq2\):

• Plot a closed - circle at \(m = 2\) (because the inequality is \(\geq\), so 2 is included in the solution set).
• Draw an arrow to the right of \(m = 2\) (since \(m\) is greater than or equal to 2).

Answer:

The solution of the inequality is \(m\geq2\). On the number - line, we have a closed - circle at \(2\) and an arrow extending to the right.