
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 a certain city's taxi fare system, there is a basic charge of 8 yuan for trips within 3 kilometers (meaning any trip of 3 km or less costs 8 yuan). If the trip exceeds 3 kilometers, the fare will include the basic charge plus an additional 1.5 yuan per kilometer for the distance beyond 3 kilometers. If passengers and drivers agree to round to the nearest yuan with no change given, and a passenger paid 16 yuan after the trip, then the range of the trip distance is ______.

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