
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
(1) Let $A=\{x|x$ is a positive integer less than $9\}$, $B=\{1,2,3\}$. Find $A \cap B$, $\complement_A B$;  
(2) Given sets $A=\{x|-3<x<1\}$, $B=\{x|2<x<10\}$, find $A \cup B$.

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