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

$$\frac{a - 8}{3}\times3\geq-3\times3$$
$$a - 8\geq-9$$

Step2: Add 8 to both sides

$$a-8 + 8\geq-9 + 8$$
$$a\geq-1$$

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 (since \(a\) is greater than or equal to \(-1\)).