Решите неравенство \(\frac{(3x-21)(3x+11)}{(-x-5)(6x+13)} \geqslant 0\) методом интервалов. \((-5; -3\frac{2}{3}] \cup (-2\frac{1}{6}; 7]\) \([-5; -3\frac{2}{3}] \cup [-2\frac{1}{6}; 7]\) \((-\infty; -5) \cup [-3\frac{2}{3}; 2\frac{1}{6}) \cup [7; +\infty)\) \((-\infty; -5] \cup [-3\frac{2}{3}; 2\frac{1}{6}] \cup [7; +\infty)\) \([-3\frac{2}{3}; -2\frac{1}{6}) \cup (5; 7]\) \((-5; -\frac{6}{13}] \cup (-\frac{3}{11}; 7]\)

Задание

Решите неравенство \(\frac{(3x-21)(3x+11)}{(-x-5)(6x+13)} \geqslant 0\) методом интервалов.

\((-5; -3\frac{2}{3}] \cup (-2\frac{1}{6}; 7]\)
\([-5; -3\frac{2}{3}] \cup [-2\frac{1}{6}; 7]\)
\((-\infty; -5) \cup [-3\frac{2}{3}; 2\frac{1}{6}) \cup [7; +\infty)\)
\((-\infty; -5] \cup [-3\frac{2}{3}; 2\frac{1}{6}] \cup [7; +\infty)\)
\([-3\frac{2}{3}; -2\frac{1}{6}) \cup (5; 7]\)
\((-5; -\frac{6}{13}] \cup (-\frac{3}{11}; 7]\)