
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 set $A=\{x \mid x^2-2x-8<0\}$, and $B=\{x \mid x-m<0\}$.

(I) If $m=3$ and the universal set $U=\mathbb{R}$, find $A\cap (\complement_{U} B)$.

(II) If $A\cap B=\emptyset$, find the range of values for $m$.

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