
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 $U=\{x|x\in\mathbb{R}\}$, and let $A$ and $B$ be subsets of $U$, where $A=\{x|3x-9\geq0\}$ and $B=\{x|2x-13<1\}$.  
Find: (I) $A\cap B$; $A\cup B$  
(II) $C_UA\cap B$; $C_UA\cup B$.

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