
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
(1) Given the sets $A = \{3, 4, x\}$ and $B = \{2, 3, y\}$. If $A = B$, find the values of real numbers $x$ and $y$;
(2) Given the sets $A = [1, 2]$ and $B = (-\infty, m]$. If $A \cap B = A$, find the range of the real number $m$.

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