
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 $-\frac{\pi}{2} \leqslant \alpha < \beta \leqslant \frac{\pi}{2}$, find the range of $\frac{\alpha - \beta}{2}$.

A) $\left(-\frac{\pi}{2}, 0\right)$
B) $\left[-\frac{\pi}{2}, 0\right]$
C) $\left(-\frac{\pi}{2}, 0\right]$
D) $\left[-\frac{\pi}{2}, 0\right)$

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