
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
Let set $A=\{x|1\leq x<7\}$, $B=\{x|2<x<10\}$, and $C=\{x|x<a\}$, with the universal set being the set of real numbers $R$.  
(1) Find $A\cup B$, $(\complement_R A) \cap B$;  
(2) Find $A\cap C$.

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