Question

solve the inequality and graph the solution.
\\( \frac { z } { 2 } > 2 \\)
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: Multiply both sides by 2

$$\frac{z}{2}\times2>2\times2$$

Step2: Simplify

$$z > 4$$

On the number - line, since \(z>4\), we have an open circle at \(z = 4\) (because \(4\) is not included in the solution set) and the ray extends to the right (towards positive infinity).

Answer:

The solution of the inequality \(\frac{z}{2}>2\) is \(z>4\). On the number - line, there is an open circle at \(4\) and a ray extending to the right.