
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 $A=\{x|-3\leq x \leq 3\}$, $B=\{x|x>2\}$.  
(1) Find $(\complement_{\mathbb{R}}B) \cap A$;  
(2) Let the set $M=\{x|x\leq a+6\}$, and $A \subseteq M$, find the range of the real number $a$.

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