Answer:
x ≥ 0 or x ≤ -3
Step-by-step explanation:
- | 3+2x| +1 ≤ -2
Subtract 1 from each side
- | 3+2x| +1-1 ≤ -2-1
- | 3+2x| ≤ -3
Divide each side by -1, remembering to flip the inequality
- | 3+2x| / -3 ≥ -3/-1
| 3+2x| ≥ 3
When we have absolute values, we get 2 solutions, one positive and one negative ( remember to flip the inequality when taking the negative)
3+2x ≥ 3 or 3+2x ≤ -3
Subtract 3 from each side
3-3+2x ≥ 3-3 or 3-3+2x ≤ -3-3
2x ≥ 0 or 2x ≤ -6
Divide each side by 2
2x/2 ≥ 0/2 or 2x/2 ≤ -6/2
x ≥ 0 or x ≤ -3
