Question

solve the inequality and graph the solution.
9v - 7 > 11
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: Add 7 to both sides

$$9v-7 + 7>11 + 7$$
$$9v>18$$

Step2: Divide both sides by 9

$$\frac{9v}{9}>\frac{18}{9}$$
$$v > 2$$

To graph the solution: On the number - line, place an open circle at \(v = 2\) (because the inequality is \(>\), not \(\geq\)) and draw a ray to the right of \(2\) to represent all values of \(v\) greater than \(2\).

Answer:

The solution of the inequality \(9v-7>11\) is \(v > 2\). On the number - line, there is an open circle at \(2\) and a ray extending to the right.