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

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