Algebra-1

To solve the inequality |6+9x| ≤ 24, we can break it down into two cases based on the absolute value:

Case 1: (6+9x) ≥ 0
If 6+9x is greater than or equal to zero, then the absolute value term |6+9x| can be simplified to (6+9x) itself. Substituting this in the original inequality, we have:
6+9x ≤ 24
9x ≤ 24 - 6
9x ≤ 18
x ≤ 18/9
x ≤ 2

Case 2: (6+9x) < 0
If 6+9x is ...