
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 2 is divided into three segments. Find the condition under which these three segments can form a triangle.
A) \( a, b, c < 1 \)
B) \( a, b > 1 \)
C) \( a + b > 1 \)
D) \( a + b > 2 \)
E) \( a + b < 1 \)

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