
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 that the function $f(x)$ is defined on the domain $\mathbb{R}$ and satisfies $f(4)=-3$, and for any real number $x$, it always has $f′(x) < 3$, determine the solution set for the inequality $f(x) < 3x-15$.

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