
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Solve the following system of inequalities:

$$
\begin{gathered}
\log _{3 / 5} \frac{x^{2}+x-6}{x^{2}-4}<1 \\
\sqrt{5-x^{2}}>x-1
\end{gathered}
$$

Present the answer in LaTex format: \boxed{Your answer}
user