
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
(1) Given $U=\{2,3,4\}$, $A=\{4,3\}$, $B=\emptyset$, find $\complement_U A$, $\complement_U B$;  
(2) Given the universal set $U=\{x|x\leq4\}$, $A=\{x|-2<x<3\}$, $B=\{x|-3<x\leq3\}$, 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