
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 $[-1,1]$, if $m, n \in [-1,1]$ and $m+n \neq 0$, then $\frac{f(m)+f(n)}{m+n} > 0$. Determine the solution set for the inequality $f(x+\frac{1}{2}) < f(1-x)$.

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