Question

directions: select a ray then drag the endpoint to the correct location on the number line.
graph the solution set of the inequality:
-\frac{1}{3}(6x - 9) \geq 21

Explanation:

Step1: Solve the inequality

$$\begin{align*} -\frac{1}{3}(6x - 9)&\geq21\\ - 2x+3&\geq21\\ -2x&\geq21 - 3\\ -2x&\geq18\\ x&\leq - 9 \end{align*}$$

Step2: Analyze the graph

Since \(x\leq - 9\), we need to choose the ray with a closed - circle (because the inequality is non - strict, i.e., \(\leq\)) and pointing downwards (towards the smaller numbers on the number line).

Answer:

Select the ray with a closed - circle and pointing downwards, and drag the endpoint to \(x = - 9\).