
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 $A=\{x\mid 3 < x < 6\}$, $B=\{x\mid 2 < x < 9\}$,
(1) Find $A\cap B$, $(C_{R}A)\cup(C_{R}B)$
(2) Given $C=\{x\mid a < x < 2a-1\}$, if $B\cup C=B$, find the range of values for the real number $a$.

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