
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 two sets $A=\{x \mid x^2-8x+12 \leq 0\}$ and $B=\{x \mid 5-2m \leq x \leq m+1\}$:
1. When $m=3$, find the sets $A \cap B$ and $A \cup B$.
2. If $B \subseteq A$, find the range of values for the real number $m$.

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