The answer is x ≥ -2. First use distributive property to simplify the left side of inequality: 2(3x – 1) ≥ 4x – 6. 2 * 3x - 2 * 1 ≥ 4x - 6. 6x - 2 ≥ 4x - 6. Rearrange it to get x on the one side and integers on the other side of inequality: 6x - 4x ≥ 2 - 6. Solve for x: 2x ≥ -4. x ≥ -4/2. x ≥ -2.Hope this helps. Let me know if you need additional help!