Question

solve the inequality and graph the solution.
5(r - 2) ≤ 10
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.
your answer:

Explanation:

Step1: Expand the left side

$$5(r - 2)=5r-10$$
The inequality becomes $5r - 10\leq10$.

Step2: Add 10 to both sides

$$5r-10 + 10\leq10 + 10$$
$$5r\leq20$$

Step3: Divide both sides by 5

$$\frac{5r}{5}\leq\frac{20}{5}$$
$$r\leq4$$

Answer:

The solution of the inequality \(5(r - 2)\leq10\) is \(r\leq4\). On the number - line, we have a closed circle at \(r = 4\) (because the inequality is \(\leq\)) and the line extends to the left (towards the smaller numbers).