Question

solve the inequality and graph the solution
2q + 2 < 10
plot the endpoints. select an endpoint to cha-
middle of the segment, ray, or line to delete it.
submit

Explanation:

Step1: Subtract 2 from both sides

$$2q+2 - 2<10 - 2$$
$$2q<8$$

Step2: Divide both sides by 2

$$\frac{2q}{2}<\frac{8}{2}$$
$$q < 4$$

To graph \(q < 4\), we have an open circle at \(q = 4\) (because the inequality is strict, \(q
eq4\)) and a ray pointing to the left (towards smaller values of \(q\)).

Answer:

The solution of the inequality \(2q + 2<10\) is \(q < 4\). On the number - line, we have an open circle at \(4\) and a ray extending to the left.