
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 $A=\{x|x^2-2x-15\leq0\}$, $B=\{x|x^2-(2m-9)x+m^2-9m\geq0, m\in\mathbb{R}\}$  
(1) If $A\cap B=[-3,3]$, find the value of the real number $m$;  
(2) Let the universal set be $\mathbb{R}$, if $A\subseteq C_{\mathbb{R}}B$, find the range of the real number $m$.

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