
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 $f(x)=|x-2|-|2x-a|, a \in R$.
(I) Solve the inequality $f(x) > 0$ when $a=3$;
(II) Solve for the range of $a$ such that $f(x) < 0$ always holds when $x \in (-\infty, 2)$.

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