
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
Given the function $f(x) = x + 1 + |3 - x|$, where $x \geq -1$.

(I) Find the solution set of the inequality $f(x) \leq 6$.

(II) If the minimum value of $f(x)$ is $n$, and the positive numbers $a$, $b$ satisfy $2nab = a + 2b$, find the minimum value of $2a + b$.

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