4. { 3(x - 2) - 2(x + 1) > 5, x/2 + (x - 1)/3 <= 2 }

Step 1: Solve the first inequality: 3(x - 2) - 2(x + 1) > 5 => 3x - 6 - 2x - 2 > 5 => x - 8 > 5 => x > 13.

Step 2: Solve the second inequality: x/2 + (x - 1)/3 <= 2. Multiply by 6: 3x + 2(x - 1) <= 12 => 3x + 2x - 2 <= 12 => 5x <= 14 => x <= 14/5.

Step 3: Find the intersection of the solutions. Since x > 13 and x <= 14/5 (which is 2.8), there is no common solution.

Answer: No solution.