
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^2-4x+3≤0} and B={x| $$\frac {x-2}{x+3}$$>0},
(1) Find A∩B and (∁<sub>R</sub>A∪∁<sub>R</sub>B);
(2) If set C={x|1<x<a}, and A∩C=C, find the range of real values for a.

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