
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 $A=\{y|2<y<3\}$, $B=\left\{x\left|\left(\frac{1}{2}\right)^{x^2-2x-3}<2^{2(x+1)}\right.\right\}$.
1. Find $A \cap B$;
2. Find $C=\{x|x \in B \text{ and } x \notin A\}$.

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