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solve the inequality and graph the solution. 15 ≥ 5r plot the endpoints…

Question

solve the inequality and graph the solution.
15 ≥ 5r
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: Divide both sides by 5

$$\frac{15}{5}\geq\frac{5r}{5}$$

Step2: Simplify

$$3\geq r$$
which can be rewritten as $$r\leq3$$

To graph: Place a closed circle at \(3\) (since the inequality is \(\leq\), equality is included) and draw a ray to the left.

Answer:

The solution is \(r\leq3\). On the number - line, there is a closed circle at \(3\) and a ray extending to the left.