
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 function f(x) = x² - ax + 3.
(I) If the solution set of f(x) ≤ -3 is [b, 3], find the values of the real numbers a and b.
(II) If the inequality f(x) ≤ 1 - x² has a solution for x ∈ [½, 2], find the range of values for the real number a.

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