
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 $f(x)=|x-3|+|x-2|+k$.  
(I) If $f(x) \geqslant 3$ always holds, find the range of values for $k$;  
(II) When $k=1$, solve the inequality: $f(x) < 3x$.

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