
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
The billing rules for taxis in a certain county are as follows: a fare of 3 yuan for the first 2 kilometers, and an additional 1.2 yuan per kilometer for the distance beyond 2 kilometers. Li Li took a taxi from his home to the Xinhua Bookstore to buy books. When he got off, he paid a fare of 9 yuan. What is the maximum distance from Li Li's home to the Xinhua Bookstore in kilometers?

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