
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: The function y = log<sub>a</sub>(x + 1) is monotonically increasing in its domain; and proposition q: The inequality (a - 2)x^2 + 2(a - 2)x + 1 > 0 holds for any real number x.
(I) Find the range of values for the real number a if q is a true proposition;
(II) Find the range of values for the real number a if "p ∧ (¬q)" is a true proposition.

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