
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 the lengths of five line segments are 3, 5, 7, 9, and 11, respectively, form different sets of three numbers from these, such as (3, 5, 7), (5, 9, 11), etc. The question is: How many sets of three numbers can exactly form the sides of a triangle?

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