Question

use the drawing tools to form the correct answer on the number line.
graph the solution to this inequality on the number line.
0.3(x - 4) > -0.3

Explanation:

Step1: Solve the inequality

First, we solve the inequality \(0.3(x - 4)>- 0.3\). Divide both sides of the inequality by \(0.3\) (since \(0.3>0\), the direction of the inequality sign remains the same):
\(x - 4>\frac{- 0.3}{0.3}\)
\(x - 4>- 1\)

Then, add \(4\) to both sides of the inequality:
\(x-4 + 4>-1 + 4\)
\(x>3\)

Step2: Graph the solution on the number line

• For the inequality \(x > 3\), we use an open point at \(x = 3\) (because the inequality is strict, \(x\) cannot be equal to \(3\)) and then draw a ray to the right of \(3\) to represent all the numbers greater than \(3\).

Answer:

To graph the solution \(x>3\) on the number line:

1. Select the "Open Point" tool and place it at \(x = 3\) on the number line.
2. Select the "Ray" tool and draw a ray starting from the open point at \(3\) and extending to the right (towards positive infinity) to represent all real numbers greater than \(3\).