
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 a function $f(x)$ that is monotonic on $R$ and satisfies $f(a+b) = f(a) + f(b) - 1$ for any real numbers $a$ and $b$. If $f(4) = 5$, then the solution set for the inequality $f(3m^2 - m - 2) < 3$ is _______.

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