
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 the taxi fare starts at 12.5 yuan for distances up to 3km, and for every additional kilometer beyond 3km an extra 2.4 yuan is charged, determine the range of the distance x (in kilometers) that Teacher Wang traveled, given that the total fare was 19.7 yuan.

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