
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 an odd function defined on $\mathbb{R}$, and its derivative is $f′(x)$. If for any real number $x$, it holds that $x^{2}f′(x) > 2xf(-x)$, then determine the solution set of the inequality $x^{2}f(x) < (3x-1)^{2}f(1-3x)$.

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