Question

Solve this inequality and graph the solution set on the number line

- 6.5x + 3 < 19 - 2.5x

«—|—|—|—|—|—|—|—|—|—|—|—»
-5 -4 -3 -2 -1 0 1 2 3 4 5

Answer 1

1. The solution to the inequality, -6.5x + 3 < 19 - 2.5x, is x > -4

2. The graph of the inequality is shown in the attached photo

How to solve the inequality?

The solution to the inequality, -6.5x + 3 < 19 - 2.5x, can be determined as follow:

-6.5x + 3 < 19 - 2.5x

Collect like terms

-6.5x + 2.5x < 19 - 3

-4x < 19 - 3

-4x < 16

Divide both sides by -4. Since we are dividing with a negative number, the inequality sign will change from < to >. This is shown below:

`x > (16)/(-4) \\\\x > -4`

Now, we can graph the solution of the inequality as shown below:

• Solution: x > -4
• Graph =>

If we have x > -4,

Then

-4 < x

Thus, the graph will be as shown in the attached photo