
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 $f(x) = |x - 2| + 2$ and $g(x) = m|x|$ (where $m \in \mathbb{R}$),

(Ⅰ) Solve the inequality $f(x) > 5$;
(Ⅱ) If the inequality $f(x) \geq g(x)$ holds true for all $x \in \mathbb{R}$, find the range of $m$.

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