Question

solve the inequality and graph the solution
\\( \frac { v + 2 } { 2 } \geq 2 \\)
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: Multiply both sides by 2

$$\frac{v + 2}{2}\geq2$$
$$\frac{v + 2}{2}\times2\geq2\times2$$
$$v + 2\geq4$$

Step2: Subtract 2 from both sides

$$v+2 - 2\geq4 - 2$$
$$v\geq2$$

Answer:

The solution of the inequality is \(v\geq2\). On the number - line, we have a closed circle at \(v = 2\) (since the inequality is \(\geq\)) and the ray extends to the right (towards positive infinity).