
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| - |2x - 1|.
1. Find the solution set of the inequality f(x) > 0 when a = 1.
2. If a > 0, find the range of values for 'a' such that the inequality f(x) < 1 holds true for all x ∈ R.

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