
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 a function defined on $[-1,1]$ satisfies $f(-x)=-f(x)$, and when $a$, $b \in [-1,0)$, we always have $\frac{f(a)-f(b)}{a-b} > 0 (a \neq b)$, if $f(m+1) > f(2m)$, then the range of the real number $m$ is _____.

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