Use the number line to represent the solution to 2.4x - 6 greater than -13.2

Question

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Select the correct ray, then click the location on the number line for the endpoint of the ray.

Answer 1

To solve the inequality \(2.4x - 6 > -13.2\), you can follow these steps:

1. Add 6 to both sides: \[ 2.4x > -13.2 + 6 \] \[ 2.4x > -7.2 \]

2. Divide both sides by 2.4: \[ x > \frac{-7.2}{2.4} \] \[ x > -3 \]

Therefore, the solution to the inequality is \(x > -3\).

Representing on a Number Line

• On a number line, you would represent \(x > -3\) with a ray starting from -3 and extending to the right.
• The endpoint at -3 should be represented as an open circle (or point) because -3 is not included in the solution.

Steps to Click:

1. Select the ray that starts from -3 and goes to the right.
2. Click on the location on the number line where the endpoint (the open circle) is at -3.

This visual representation indicates that all values greater than -3 are included in the solution set.