
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
The function $f(x)$ is a decreasing function defined on $(0, +\infty)$, and for any $x, y \in (0, +\infty)$, it holds that $f(x+y) = f(x) + f(y) - 1$, and $f(4) = 5$.
(1) Find the value of $f(1)$;
(2) Solve the inequality $f(m-2) \geq 2$.

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