Question

solve the inequality and graph the solution. 2a - 1 < -9 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: Add 1 to both sides

$$\begin{align*} 2a-1+1&<-9 + 1\\ 2a&<-8 \end{align*}$$

Step2: Divide both sides by 2

$$\begin{align*} \frac{2a}{2}&<\frac{-8}{2}\\ a&<-4 \end{align*}$$

To graph the solution \(a < - 4\):

• Plot an open circle at \(-4\) (because the inequality is strict, \(a

eq - 4\)).

• Draw an arrow to the left (since \(a\) is less than \(-4\)).

Answer:

The solution of the inequality is \(a < - 4\). On the number - line, we have an open circle at \(-4\) and an arrow pointing to the left.