
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 sets $A=\{x|x^2-2x-3<0\}$, $B=\{x|(x-m+1)(x-m-1)\geq0\}$,  
(Ⅰ) When $m=0$, find $A\cap B$.  
(Ⅱ) If $p: x^2-2x-3<0$, $q: (x-m+1)(x-m-1)\geq0$, and $q$ is a necessary but not sufficient condition for $p$, find the range of the real number $m$.

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