
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 propositions P and Q: Proposition P states that the function f(x) = $$\frac{x - 4}{x - 3}$$ is monotonically increasing on the interval [m, +∞); Proposition Q states that $$∀x ∈ [\frac{π}{2}, \frac{3π}{4}], 4\sin(2x + \frac{π}{4}) ≤ m$$. If P ∨ Q is true and P ∧ Q is false, find the range of values for the real number m.

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