Question

solve the inequality and graph the solution.
8z - 7 ≥ 9
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 7 to both sides

$$8z-7 + 7\geq9 + 7$$
$$8z\geq16$$

Step2: Divide both sides by 8

$$\frac{8z}{8}\geq\frac{16}{8}$$
$$z\geq2$$

To graph \(z\geq2\), we plot a closed endpoint at \(z = 2\) (because the inequality is \(\geq\), so 2 is included in the solution set) and draw an arrow to the right (since \(z\) is greater than or equal to 2).

Answer:

The solution of the inequality \(8z-7\geq9\) is \(z\geq2\). On the number - line, we have a closed circle at \(2\) and a ray extending to the right.