\[\ x(x - 7) - 18 > 7 \cdot (9 - x)\]
\[x^{2} - 7x - 18 > 63 - 7x\]
\[x^{2} - 81 > 0\]
\[x^{2} - 81 = 0\]
\[x^{2} = 81\]
\[x = \pm 9\]
\[Ответ:\ x \in ( - \infty; - 9) \cup (9; + \infty).\]
\[\ (x + 9)(x - 3) < 0\]
\[(x + 9)(x - 3) = 0\]
\[x + 9 = 0\ \ \ \ \ \ \ x - 3 = 0\]
\[x = - 9\ \ \ \ \ \ \ \ \ \ \ x = 3\]
\[Ответ:\ x \in ( - 9;3)\text{.\ }\]