
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 $f(x)=|x-2|+2|x-1|$.
- (I) Solve the inequality $f(x) > 4$ for its solution set.
- (II) If the inequality $f(x) > 2m^{2}-7m+4$ holds for $\forall x \in \mathbb{R}$, find the range of the real number $m$.

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