
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 sets $A=\{x|x^{2}-2x-8 < 0\}$ and $B=\{x|x-m < 0\}$.
1. If $m=3$, and the universal set $U=A\cup B$, find $A\cap (\neg_{U}B)$;
2. If $A\cap B=\emptyset$, find the range of real number $m$;
3. If $A\cap B=A$, find the range of real number $m$.

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