
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
Let set $A=\{x|x^2-3x-4<0\}$, and set $B=\{x|-3<x<1\}$.  
(1) Find the intersection $A\cap B$;  
(2) If the solution set of the inequality $2x^2+ax+b<0$ is $B$, find the values of $a$ and $b$.

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