9.074. $m^{3}+m^{2}-m-1>0$.

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9.074. $m^{3}+m^{2}-m-1>0$.
Solution.

From the condition

$$
\begin{aligned}
& m^{2}(m+1)-(m+1)>0,(m+1)\left(m^{2}-1\right)>0,(m+1)(m+1)(m-1)>0 \\
& (m+1)^{2}(m-1)>0 \Leftrightarrow\left\{\begin{array} { l } 
{ m - 1 > 0 , } \\
{ m + 1 \neq 0 }
\end{array} \Leftrightarrow \left\{\begin{array}{l}
m>1, \\
m \neq-1,
\end{array} \quad m>1\right.\right.
\end{aligned}
$$

Answer: $\quad m \in(1 ; \infty)$.