
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
If $α,β∈\left[ -\frac{π}{2}, \frac{π}{2} \right]$ and $α\sin α-β\sin β > 0$, then among the following relations: $①α > β$; $②α < β$; $③α+β > 0$; $④α^{2} > β^{2}$; $⑤α^{2} < β^{2}$. The correct serial number(s) is/are:

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