Question

solve the inequality and graph the solution.
\frac{k}{3} \geq -1
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.
submit

Explanation:

Step1: Multiply both sides by 3

$$\frac{k}{3}\times3\geq - 1\times3$$

Step2: Simplify

$$k\geq - 3$$

To graph \(k\geq - 3\), we first plot a closed endpoint at \(-3\) (because the inequality is \(\geq\), which includes the value \(-3\)) and then draw an arrow to the right (since \(k\) is greater than or equal to \(-3\)).

Answer:

The solution of the inequality is \(k\geq - 3\). On the number - line, we have a closed circle at \(-3\) and a ray extending to the right.