\(\left(-9\right)^3.\left(\left|x\right|-10\right)< 0\)
\(\Leftrightarrow-729.\left(\left|x\right|-10\right)< 0\)
\(\Leftrightarrow-729\left|x\right|+7290< 0\)
\(\Leftrightarrow-729\left|x\right|< -7290\)
\(\Leftrightarrow\left|x\right|>10\)
\(\Leftrightarrow x>\pm10\)