
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 universal set $U=\{x|x\leq4\}$, set $A=\{x|-2<x<3\}$, and set $B=\{x|-3<x\leq3\}$.  
Find: $\complement_U A$; $A\cap B$; $\complement_U (A\cap B)$; $(\complement_U A)\cap B$.

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