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.

Explanation:

Step1: Multiply both sides by 3

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

Step2: Simplify

$$k\geq - 3$$

To graph the solution:

• Plot a closed circle at \(k = - 3\) (because the inequality is \(\geq\), so the endpoint is included).
• Draw a ray 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, there is a closed circle at \(-3\) and a ray extending to the right.