
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
For an odd function $f(x)$ defined on $R$, the inequality $\frac{f(a)-f(b)}{a-b} \gt 0$ holds for any two distinct real numbers $a$ and $b$. Then the solution set of the inequality $f(m+2)+f(m-6) \gt 0$ is ____.

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