
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 $A=\{x \mid 3 \leq x < 7\}$, $B=\{x \mid 2 < x < 10\}$, $C=\{x \mid x < a\}$.
(1) Find $(\complement_{\mathbb{R}} A) \cap B$;
(2) If $A \subseteq C$, find the range of values for the real number $a$.

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