Answer:
-8 ≤ x ≤ 2
Explanation:
Hello!
The absolute value expression gives us two scenarios:
- 3x + 9 ≤ 15
- -(3x + 9) ≤ -15
We have to solve for x in both equations.
3x + 9 ≤ 15
-(3x + 9) ≤ 15
- 3x + 9 ≥ -15
- 3x ≥ -24
- x ≥ -8
So x is less than or equal to 2, and x is greater than or equal to -8.
The sandwich inequality would be -8 ≤ x ≤ 2.