
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
Suppose you have $x$ as a real number and the following inequality: $|x-2| + |x+1| < b$, where $b > 0$. Identify the correct range of $b$ for which the inequality holds for at least some values of $x$.
**A)** $0 < b \leq 3$  
**B)** $b > 3$  
**C)** $b < 3$  
**D)** $b \geq 3$

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