Решите неравенство методом интервалов: x^3-100x<0.

\[\ x^{3} - 100x < 0\]

\[x^{3} - 100x = 0\]

\[x(x - 10)(x + 10) = 0\]

\[x = 0\ \ \ \ \ \ x - 10 = 0\ \ \ \ \ \ x + 10 = 0\]

\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = 10\ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - 10\]

\[Ответ:x \in ( - \infty; - 10) \cup (0;10)\text{.\ }\]