
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
A segment of length \(1\) is divided into three segments. Determine whether a triangle can be formed with these three segments if any segment must be:
(problem created without reference to any option)
A) Each segment must be equal to or greater than $\frac{1}{6}$
B) Each segment must be less than $\frac{1}{2}$
C) No segment can be greater than $\frac{1}{3}$
D) Each segment must be less than $\frac{1}{4}$

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