
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 propositions p: The function f(x) = x² + mx + 1 has one root in each of the intervals (-2, -1) and (-1, 0); and q: There exists an x in the interval (1, 2.5) such that the function g(x) = log₂(mx² + 2x - 2) is defined. If the compound proposition p ∧ q is false and p ∨ q is true, find the range of values for the real number m.

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