
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
Given the set $B = \{x|x^2 - (a+2)x + 2a = 0\}$, where $a \in \mathbb{R}$, and the set $A = \{x|a-2 < x < a+2\}$:  
(I) If $a=0$, find $A \cup B$.  
(II) If $\complement_{\mathbb{R}}A \cap B \neq \emptyset$, find the range of values for $a$.

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