
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
Given that $f(x)$ is a function defined on $[-2,2]$, and for any real numbers $x\_1$, $x\_2$ ($x\_1 \neq x\_2$), it always holds that $\frac{f(x\_1) - f(x\_2)}{x\_1 - x\_2} > 0$, and the maximum value of $f(x)$ is $1$. Find the solution set that satisfies $f(\log\_2 x) < 1$.

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