
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 sets $A=\{1,2\}$, $B=\{x|x<a\}$, and $M=\{x|x^2-(1+m)x+m=0\}$.
- (I) If $A \cap B = A$, find the range of values for $a$.
- (II) If $m>1$, find $A \cup M$.

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