解下列不等式组:
(1)$\{\begin{array}{l} 3(x - 1) < 4x - 2,\\ \frac{-x}{5} > \frac{x + 1}{2};\end{array} $ (2)$\{\begin{array}{l} \frac{1}{2} + \frac{2x}{3} ≤ \frac{-x}{2} + \frac{5}{3},\\ 3(x - 1) < x - 5;\end{array} $
(3)$\{\begin{array}{l} \frac{1}{2}(x + 3) < 2,\\ \frac{x + 2}{2} > \frac{x + 3}{3};\end{array} $ (4)$\{\begin{array}{l} x - 3(x - 2) > 4,\\ \frac{1 + 2x}{3} > x - 1;\end{array} $
(5)$\{\begin{array}{l} 5x + 4 < 3(x + 1),\\ \frac{x - 1}{2} ≥ \frac{2x - 1}{5};\end{array} $ (6)$\{\begin{array}{l} 3x - 6 < 4 - x,\\ \frac{1}{3}(x + 2) ≥ - 1;\end{array} $
(7)$\{\begin{array}{l} \frac{x - 2}{3} < 0,\\ 4 - \frac{1}{3}x < - \frac{1}{4}x;\end{array} $ (8)$\{\begin{array}{l} 2(x + 8) ≤ 10 - 4(x - 3),\\ x - \frac{3x + 1}{2} < 1.\end{array} $
(1)$\{\begin{array}{l} 3(x - 1) < 4x - 2,\\ \frac{-x}{5} > \frac{x + 1}{2};\end{array} $ (2)$\{\begin{array}{l} \frac{1}{2} + \frac{2x}{3} ≤ \frac{-x}{2} + \frac{5}{3},\\ 3(x - 1) < x - 5;\end{array} $
(3)$\{\begin{array}{l} \frac{1}{2}(x + 3) < 2,\\ \frac{x + 2}{2} > \frac{x + 3}{3};\end{array} $ (4)$\{\begin{array}{l} x - 3(x - 2) > 4,\\ \frac{1 + 2x}{3} > x - 1;\end{array} $
(5)$\{\begin{array}{l} 5x + 4 < 3(x + 1),\\ \frac{x - 1}{2} ≥ \frac{2x - 1}{5};\end{array} $ (6)$\{\begin{array}{l} 3x - 6 < 4 - x,\\ \frac{1}{3}(x + 2) ≥ - 1;\end{array} $
(7)$\{\begin{array}{l} \frac{x - 2}{3} < 0,\\ 4 - \frac{1}{3}x < - \frac{1}{4}x;\end{array} $ (8)$\{\begin{array}{l} 2(x + 8) ≤ 10 - 4(x - 3),\\ x - \frac{3x + 1}{2} < 1.\end{array} $
答案:(1) -1 < x < - $\frac{5}{7}$ (2) x < -1 (3) 0 < x < 1
(4) x < 1 (5) 无解 (6) -5 ≤ x < 2.5 (7) 无解
(8) -3 < x ≤ 1
(4) x < 1 (5) 无解 (6) -5 ≤ x < 2.5 (7) 无解
(8) -3 < x ≤ 1