
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 the set of all equations $x^4 + b_3x^3 + b_2x^2 + b_1x + b_0 = 0$, where $b_3$, $b_2$, $b_1$, $b_0$ are real constants and $|b_i| < 3$ for $i = 0,1,2,3$. Let $s$ be the largest positive real number which satisfies at least one of these equations. Determine the range of $s$.
**A)** 2 < s < 3
**B)** 3 < s < 4
**C)** 4 < s < 5
**D)** 5 < s < 6

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