
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 $U=\mathbb{R}$, and let set $A=\{x|-1<x\leq5\}$, $B=\{x|x<3 \text{ or } x\geq15\}$. Find:  
(1) $\complement_{U}A$  
(2) $\complement_{U}(A\cap B)$

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