
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 $$A=\{y|y= \sqrt {3-2x}, x\in[-\frac {13}{2}, \frac {3}{2}]\}$$ and $$B=\{x|1-m\leq x\leq m+1\}.$$  
(1) If $m=2$, find $A \cap B$;  
(2) If $B \subseteq A$, find the range of possible values for $m$.

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