
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

On an island, there are 10 people. Some of them are truth-tellers and others are liars. Each person has thought of an integer. The first person says, "My number is greater than 1." The second person says, "My number is greater than 2." ... The tenth person says, "My number is greater than 10."

Afterwards, these ten people stand in a line in some order and each says one statement in sequence: "My number is less than 1," "My number is less than 2," ... "My number is less than 10" (each person makes exactly one statement). 

Question: What is the maximum number of truth-tellers that could be among these people?

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