
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
The graph of the odd function $f(x)$ defined on $R$ is a smooth and continuous curve. It is monotonically increasing on the interval $(-\infty, -1]$, monotonically decreasing on the interval $[-1,1]$, and $f(3)=0$. Determine the solution set of the inequality $f(x)f(x+5) \lt 0$.

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