Question

use the number line to represent the solution to 2.4x - 6 > -13.2. select the correct ray, then click the location on the number line for the endpoint of the ray.

Explanation:

Step1: Solve the inequality

$$\begin{align*} 2.4x - 6&>-13.2\\ 2.4x&>-13.2 + 6\\ 2.4x&>-7.2\\ x&>- 3 \end{align*}$$

Step2: Analyze the number - line representation

Since \(x > - 3\), on the number line, there is an open circle at \(-3\) (because the inequality is strict, \(x
eq - 3\)) and the ray points to the right (towards larger values of \(x\)).

Answer:

Select the ray with an open circle at \(-3\) and pointing upwards (assuming the number line is vertical as in the given image).