
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 $A=\left\{x|3\leqslant x\leqslant 9\right\},B=\left\{x|2 < x < 5\right\},C=\left\{x|x > a\right\}$.

(1) Find $A\cup B$;

(2) If $B\cap C=\emptyset$, find the range of values for the real number $a$.

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