
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 that the universal set is the set of real numbers $\mathbb{R}$, let set $A=\{x|3\leq x\leq 7\}$, $B=\{x|2<x<10\}$, and $C=\{x|x\leq a\}$.  
(1) Find $(C_{\mathbb{R}}A) \cap B$;  
(2) If $A \subseteq C$, find the range of values for $a$.

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