
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 defined on $\mathbb{R}$ such that for any $x_1, x_2 \in \mathbb{R}$, it holds that $f(x_1 + x_2) = f(x_1) + f(x_2) - 1$. Also, when $x > 0$, $f(x) > 1$. If $f(4) = 5$, then the solution set of the inequality $f(3m - 2) < 3$ is ______.

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