
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 $$f(x)=|x+a|+|x-\frac{1}{a}|$$.
(I) When $a=1$, solve the inequality $f(x) \geq 5$;
(II) If $\forall x \in \mathbb{R}, f(x) \geq |m-1|$ always holds, find the range of values for the real number $m$.

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