
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 set A={x|1＜x＜3}, the domain of the function f(x) = $$\frac {1}{ \sqrt {5-x}}$$+lnx is set B, and set C={x|2m-1＜x＜m}.
(1) Find set B and the intersection of (∁<sub>R</sub>A) and B.
(2) If A∩C=C, find the range of values for the real number m.

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