
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
In triangle \( \triangle ABC \), the angle between vectors \( \overrightarrow{AB} \) and \( \overrightarrow{BC} \) is \( 150^{\circ} \), and \( | \overrightarrow{AC} | = 2 \). Determine the range of \( | \overrightarrow{AB} | \).

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