Question

solve the inequality and graph the solution.
6(v + 1) - 9 ≤ 9
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: Expand the left - hand side

$$6(v + 1)-9=6v+6 - 9=6v - 3$$
The inequality becomes $6v-3\leq9$.

Step2: Add 3 to both sides

$$6v-3 + 3\leq9 + 3$$
$$6v\leq12$$

Step3: Divide both sides by 6

$$\frac{6v}{6}\leq\frac{12}{6}$$
$$v\leq2$$

Answer:

The solution of the inequality is $v\leq2$. On the number line, we plot a closed circle at \(2\) (since the inequality is $\leq$) and draw a ray to the left of \(2\) towards \(-\infty\).