
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
(The full score for this question is 12 points) Let set $A = \{x | x^2 < 4\}$, and set $B = \{x | 1 < x < 3\}$.  
(1) Find the intersection of sets $A$ and $B$;  
(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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