
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
Let set $A=\{x|x \text{ is a positive integer less than } 6\}$, $B=\{x|(x-1)(x-2)=0\}$, $C=\{x|(m-1)x-1=0\}$.
(I) Find $A \cap B$, $A \cup B$;
(II) If $B \cap C = C$, find the set $M$ consisting of real numbers $m$.

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