
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 as the domain of the function f(x) = $\frac{1}{\sqrt{4 - 2^x}}$, and set B = {x ∈ R | y = log(x - 4)}.
(1) Find sets A and B.
(2) Given set C = {x | 1 - m ≤ x ≤ m - 1}, if set C is a subset of (A ∪ B), find the range of values for the real number m.

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