Write and graph an inequality that represents the numbers that are not solutions of each inequality. a. x + 8 < 14 b. x - 12 \geqslant 5.7

Question

write and graph an inequality that represents the numbers that are not solutions of each inequality. a.
`x + 8 < 14` b.
`x - 12 \geqslant 5.7`

Answer 1

The graph of the inequality expressions that represents numbers not in the solutions is attached

Solving the inequality expressions that represents numbers not in the solutions

From the question, we have the following parameters that can be used in our computation:

x + 8 < 14

Evaluate

x < 6

So, the expression not in the solution is x ≥ 6

Next, we have

x - 12 ≥ 5.7

So, we have

x ≥ 17.7

So, the expression not in the solution is x < 17.7