Реши неравенства:

1. \((x+12)(x-4)(x-20) \gt 0\)
2. \((4x-5)^9(x+1)(11-x)^6\gt 0\)
3. \(\frac{8x}{x^2-6x+5}+\frac{2}{x-1} \ge \frac{4}{x-5}\)
4. \((x^2-81)\sqrt{x^2-49} \ge 0\)

Ответ:

1. [ \((-\infin ;-7) \cup (6;14 )\) | \((-12 ;4) \cup (20; +\infin )\) | \((-6 ;1) \cup (7; +\infin )\) | \((-\infin ;-4) \cup (9; 17)\) ]
2. [ \((-\infin ;-4) \cup (\frac{1}{3}; 6 ) \cup (6; +\infin )\) | \((-0,2 ;8) \cup (8; 11 )\) | \((-\infin ;-1) \cup (1,25; 11 ) \cup (11; +\infin )\) | \((-\infin ;-1) \cup (-1;1,8 ) \cup (1,8;3 )\) ]
3. [ \((1;2,6] \cup (5; +\infin )\) | \( (5; +\infin )\) | \([0,75 ;1) \cup (3; +\infin )\) | \((1;1,5] \cup (2; +\infin )\) ]
4. [ \((-\infin ;-9] \cup\{-7\}\cup \{7\} \cup [9; +\infin )\) | \((-\infin ;-6] \cup\{-4\}\cup \{4\} \cup [6; +\infin )\) | \((-\infin ;-7] \cup \{-2\} \cup \{2\} \cup [7; +\infin )\) | \((-\infin ;-5] \cup\{-3\}\cup \{3\} \cup [5; +\infin )\) ]