9.092. $\log _{0.5}^{2} x+\log _{0.5} x-2 \leq 0$.
Solution.

Domain of definition: $\quad x>0$.

Solving this inequality as a quadratic inequality with respect to $\log _{0,5} x$, we get $-2 \leq \log _{0,5} \cdot x \leq 1,0,5 \leq x \leq 4$.

Answer: $\quad x \in[0,5 ; 4]$