
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 $f(x)$ is an odd function defined on the real numbers, for any given positive real numbers $x_{1}$ and $x_{2}$, the inequality $\frac{[f({x}_{1})]^{\frac{2023}{2025}}-[f({x}_{2})]^{\frac{2023}{2025}}}{{x}_{1}^{\frac{8}{11}}-{x}_{2}^{\frac{8}{11}}} \lt 0$ always holds. Also, $f(-4)=0$. Find the range of values of $x$ for which the "beginning of winter function" $g(x)=[\frac{f(x-2)}{x+2}]^{1925}\geqslant 0$.

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