
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) = |2x + 4| + |x - a|, where a ∈ R:
(I) Find the solution set for the inequality f(x) ≤ 5 when a = 1.
(II) Find the range of values for 'a' such that f(x) > 1 is always true when x ∈ R.

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