Question

solve the inequality and graph the solution. -9 + 6r > 9 to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Add 9 to both sides

$$-9 + 6r+9>9 + 9$$
$$6r>18$$

Step2: Divide both sides by 6

$$\frac{6r}{6}>\frac{18}{6}$$
$$r > 3$$

To graph \(r>3\):

• On the number - line, we first find the point \(r = 3\). Since the inequality is \(r>3\) (not \(r\geq3\)), we use an open - circle at \(r = 3\).
• Then we draw a ray to the right of \(r = 3\) (because \(r\) is greater than 3).

Answer:

The solution of the inequality is \(r>3\). On the number - line, there is an open - circle at \(3\) and a ray extending to the right.