
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 proposition p: ∀x∈R, 4mx²+x+m≤0.
(1) If p is a true proposition, find the range of values for the real number m;
(2) If there is a proposition q: ∃x∈[2,8], mlog₂x+1≥0, when p∨q is a true proposition and p∧q is a false proposition, find the range of values for the real number m.

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