
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 inequality $x^{2}-(b+2)x+c < 0$ with the solution set $\{x|2 < x < 3\}$.
1. Let the solution set of the inequality $bx^{2}-(c+1)x-c > 0$ be $A$, and set $B=[-2,2)$. Find $A∩B$.
2. If $x > 1$, find the minimum value of $ \dfrac {x^{2}-bx+c}{x-1}$.

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