
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 solution set of the function $f(x)$, where $f(x)$ is defined for all real numbers, and its derivative $f'(x)$ is greater than $3$, and satisfies $f(-1)=1$, is such that the inequality $f(x) > 3x+4$ holds.

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