Реши неравенства

1. \((x+7)(x-6)(x-14) \lt 0\) ;
2. \((x+1)(5x-9)^2(3-x)^5\gt 0\) ;
3. \(\frac{5x}{x^2-4x+3}+\frac{2}{x-1} \ge \frac{3}{x-3}\) ;
4. \((x^2-36)\sqrt{x^2-16} \ge 0\) .

Ответ:

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