Graph the solution to this inequality on the number line.

Question

0.3(x − 4) > -0.3

Answer 1

To graph the solution to the inequality 0.3(x - 4) > -0.3 on the number line, we need to first solve for x.

0.3(x - 4) > -0.3
Distribute 0.3 on the left side:
0.3x - 1.2 > -0.3
Add 1.2 to both sides:
0.3x > 0.9
Divide by 0.3:
x > 3

So the solution to the inequality is x > 3. To graph this on the number line, we mark an open circle at 3 and draw an arrow to the right indicating all values greater than 3 are solutions to the inequality.

Number line:
0------3----->

Graph:
---o------>