
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 a quadratic inequality in $x$, $ax^2+x+b>0$, its solution set is $(-\infty, -2) \cup (1, +\infty)$.

(I) Find the values of $a$ and $b$;  
(II) Find the solution set of the inequality $ax^2-(c+b)x+bc<0$.

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