
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 domain of $f\left(x\right)$ is $R$, for any $x_{1}$, $x_{2}\in R$ where $x_{1}\neq x_{2}$, it is known that $\frac{f({x}_{1})-f({x}_{2})}{{x}_{1}-{x}_{2}}＞3$ and $f\left(5\right)=18$. Then the solution set of the inequality $f\left(3x-1\right) \gt 9x$ is ______.

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