
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| + 2|x - 1|.
1. Find the solution set for the inequality f(x) ≤ 4.
2. If the lowest point on the graph of the function y = f(x) is (m, n), and positive numbers a and b satisfy ma + nb = 4, find the range of values for $\frac{2}{a} + \frac{1}{b}$.

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