Question

Graph the solution to this inequality on the number line.
0.3(x − 4) > -0.3

Answer 1

Please refer to the attached image in the answer area.

Explanation:

The given inequality is:

`0.3(x -4) > -0.3`

To find:

The graph of inequality on the number line.

Solution:

First of all, let us simplify the inequality.

`0.3(x -4) > -0.3`

Dividing it with 0.3 on the both sides:

`x -4 > -1\\\text{Adding 4 on both sides}\\\Rightarrow x > 3`

i.e. all the values x > 3 will be our solution. There is no equal sign in the inequality so 3 will not be included in the solution.

Please refer to the attached image for the solution graph of the given inequality.

3 has an empty circle drawn over it which signifies that 3 is not included in the solution set.

Red line shows that all the values greater than 3 are included in the solution.