
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^-4x-5≤0}, B={x|1<2^x<4}, and C={x|x<m}.
(1) Find A∩(∁\_RB);
(2) If A∩C≠A and B∩C≠∅, find the range of real number m.

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