Question

6q + 9 ≤ 9 and 6q + 9 ≥ −9

Answer 1

Hello there!

6q + 9 ≤ 9

Start by subtracting 9 from both sides

6q + 9 - 9 ≤ 9 - 9

6q ≤ 0

Then divide both sides by 6

6q/6 ≤ 0/6

q ≤ 0

--------------

The second equation
6q + 9 ≥ -9

Start by subtracting 9 from both sides

6q + 9 - 9 ≥ -9 - 9

6q ≥ -18

Divide both sides by 6

6q/6 ≥ -18/6

q ≥ -3


Good luck with your studies!

Answer 2

If you combine both of these inequalities, you will get
-9 ≤ 6q + 9 ≤ 9

You can further simplify this be using the absolute value.
If you use the absolute value, you will get
| 6q + 9 | ≤ 9

If you're trying to solve for q, use
-9 ≤ 6q + 9 ≤ 9
Subtract all parts by 9
- 18 ≤ 6q ≤ 0
Divide all parts by 6
- 3 ≤ q ≤ 0

Have an awesome day! :)