Question

Solve the inequality. 1/2 (8x − 2) − 2/3 (9x + 3) ≤ 8

Answer 1

x ≥ -11/2

Explanation:

Step 1: Write inequality

1/2(8x - 2) - 2/3(9x + 3) ≤ 8

Step 2: Solve for x

1. Distribute: 4x - 1 - 6x - 2 ≤ 8
2. Combine like terms: -2x - 3 ≤ 8
3. Add 3 to both sides: -2x ≤ 11
4. Divide both sides by -2: x ≥ -11/2