
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 $α, β \in [-\frac{π}{2}, \frac{π}{2}]$, and $α\sinα - β\sinβ > 0$, which of the following relationships is correct:
1. $α > β$
2. $α < β$
3. $α + β > 0$
4. $α^2 > β^2$
5. $α^2 ≤ β^2$  
The correct serial number is: ______.

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