Question

solve the inequality and graph the solution.

2 ≤ c/4

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: Solve the inequality

Multiply both sides of the inequality \(2\leq\frac{c}{4}\) by \(4\) to isolate \(c\).
$$2\times4\leq\frac{c}{4}\times4$$
$$8\leq c$$

Step2: Graph the solution

Since \(c\geq8\), we plot a closed - circle at \(8\) (because the inequality is \(\geq\), so \(8\) is included in the solution set) and draw a ray to the right.

Answer:

The solution of the inequality is \(c\geq8\). On the number - line, we have a closed circle at \(8\) and a ray extending to the right.