
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 $f(x) = |x - 1| + |ax + 1|$, $g(x) = |x + 1| + 2$.
(I) If $a = \frac{1}{2}$, find the solution set of the inequality $f(x) < 2$;
(II) Let the solution set of the inequality $f(x) \leq g(x)$ be $A$. If the set $(0, 1] \subseteq A$, find the range of values for $a$.

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