
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 be $\mathbb{R}$, $A=\{x|3\leq x<7\}$, $B=\{x|2<x<10\}$. Find:  
(1) $A\cap B$  
(2) $C_{\mathbb{R}}A$  
(3) $C_{\mathbb{R}}(A\cup B)$

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