Question

solve the inequality and graph the solution.
\\(\frac{z}{-1}\geq3\\)
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: Simplify the inequality

Multiply both sides by - 1. When multiplying an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{z}{-1}\geq3$ becomes $z\leq - 3$.

Step2: Graph the solution

The solution $z\leq - 3$ is a ray on the number - line starting at $z=-3$ and extending to the left. We use a closed circle at $z = - 3$ because the inequality includes equality ($\leq$).

Answer:

The solution of the inequality is $z\leq - 3$. On the number - line, place a closed circle at $-3$ and draw a ray to the left.