
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
Consider a string of length 1 that is cut into five segments. Determine whether there exists a pentagon with these five segments as sides if and only if each segment is:
A) Equal to \( \frac{1}{5} \)
B) Equal to or greater than \( \frac{1}{10} \) and less than \( \frac{1}{2} \)
C) Greater than \( \frac{1}{10} \) and less than \( \frac{1}{2} \)
D) Equal to or greater than \( \frac{1}{10} \) and less than \( \frac{1}{5} \)
E) Less than \( \frac{1}{2} \)

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