
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| + |x-m|,

1. Find the range of values for the real number m if f(x) ≥ 3 holds true for all x ∈ R.
2. Find the range of values for the real number m if the solution set of the inequality f(m) - 2m ≥ x^2 - x is not empty.

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