
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 that the solution set of the inequality $|2x-3| < x$ is the same as the solution set of the inequality $x^{2}-mx+n < 0$.  
(I) Find $m-n$;  
(II) If $a$, $b$, $c \in (0,1)$, and $ab+bc+ac=m-n$, find the minimum value of $a+b+c$.

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