Question

solve the inequality and graph the solution.
\\( \frac { a - 8 } { 3 } \geq - 3 \\)
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 3

$$\begin{align*} 3\times\frac{a - 8}{3}&\geq-3\times3\\ a-8&\geq - 9 \end{align*}$$

Step2: Add 8 to both sides

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

Answer:

The solution of the inequality is \(a\geq - 1\). On the number - line, we plot a closed circle at \(-1\) (because the inequality is \(\geq\)) and draw a ray to the right.