
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
Let the function $f'(x)$ be the derivative of the function $f(x)$ ($x \in \mathbb{R}$), with $f(0) = 1$, and $3f(x) = f'(x) - 3$. The solution set for $4f(x) > f'(x)$ is \_\_\_\_\_.

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