
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 $U=\{x\in\mathbb{Z}|-1\leq x\leq 5\}$, set $A=\{x\in\mathbb{R}|(x-1)(x-2)=0\}$, and set $B=\{x\in\mathbb{N}| \frac{4-x}{2}>1\}$. Find the sets $C_UA$, $A\cup B$, and $A\cap B$.

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