
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) = |x + 1|,
(I) Find the solution set for the inequality f(x) ≤ 5 - f(x - 3);
(II) Given that the inequality 2f(x) + |x + a| ≤ x + 4 has a solution on the interval [-1, 1], find the range of possible values for the real number a.

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