Question

solve the inequality and graph the solution.
8q + 10 < 2
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: Subtract 10 from both sides

$$\begin{align*} 8q+10 - 10&<2 - 10\\ 8q&<-8 \end{align*}$$

Step2: Divide both sides by 8

$$\begin{align*} \frac{8q}{8}&<\frac{-8}{8}\\ q&<-1 \end{align*}$$

To graph the solution \(q < - 1\):

• Plot an open endpoint at \(-1\) (since the inequality is strict, \(q

eq - 1\)).

• Draw an arrow to the left (because \(q\) is less than \(-1\)).

Answer:

The solution of the inequality is \(q < - 1\). On the number - line, there is an open circle at \(-1\) and an arrow pointing to the left.