Question

# Solve the following inequality: 2(x + 1) – (–x + 5) ≤ –18. A. x ≤ –9 B. x ≤ –20 C. x ≤ –37 D. x ≤ –5

Answer

D. x ≤ -5

- Distribute the negative sign to -x + 5: 2(x + 1) + x - 5 ≤ -18.
- Simplify the left side: 3x - 3 ≤ -18.
- Add 3 to both sides: 3x ≤ -15.
- Divide by 3: x ≤ -5.