\[(x + 4)(x - 2)(3 - x) < 0\]
\[(x + 4)(x - 2)(x - 3) > 0\]
\[x + 4 = 0\]
\[x = - 4\]
\[x - 2 = 0\]
\[x = 2\]
\[x - 3 = 0\]
\[x = 3\]
\[Ответ:( - 4;2) \cup (3; + \infty).\]