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 \(2.4x - 6 > -13.2\)

Add 6 to both sides: \(2.4x - 6 + 6 > -13.2 + 6\)
Simplify: \(2.4x > -7.2\)

Step2: Divide both sides by 2.4

\(\frac{2.4x}{2.4} > \frac{-7.2}{2.4}\)
Simplify: \(x > -3\)

Answer:

To represent \(x > -3\) on the number line, we use an open circle at \(-3\) (since the inequality is strict, \(x
eq -3\)) and a ray pointing to the right (towards positive infinity) from \(-3\). So we select the ray with an open circle and arrow pointing right, and place the open circle at \(-3\) on the number line.