
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 - a| + |x + 2|, where a is a real number:

1. Find the solution set for the inequality f(x) ≥ 5 when a = 1.
2. Find the range of real number a that makes the inequality f(x) ≤ |x + 4| always true when x ∈ [0, 1].

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