
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 sets $A=\{x|{x}^{2}-x-12 < 0\}$, $B=\{x|{x}^{2}+2x-8 > 0\}$, and $C=\{x|x^{2}-4ax+3a^{2} < 0\}(a > 0)$.

(1) Find $A∩(C\_RB)$;

(2) Determine the range of values for the positive real number $a$ if $C⊇(A∩B)$.

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