
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 the universal set $U=\mathbb{R}$, given $$A=\left\{x\middle| \frac {2x+3}{x-2}>0\right\}, B=\left\{x\middle| |x-1|<2\right\}$$, then $A\cap B= \boxed{\{x|2<x<3\}}$.

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