
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
Xiao Chen took a taxi to the Capital International Airport. The starting fare is 10 yuan (within 3km), and for every 0.6km beyond 3km, the fare increases by 1 yuan. When Xiao Chen arrived at the airport, the meter showed a total fare of 34 yuan. Let the distance Xiao Chen traveled be $S$ km. Find the range of $S$.

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