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

(I) Find $A\cap(C\_RB)$;

(II) Determine the range of positive real numbers $a$ if $C\supseteq(A\cap B)$.

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