
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 $f(x) = \log(3-|x-1|)$, and denote its domain as set $A$. Let set $B = \{ x | x^2 - (a+5)x + 5a < 0 \}$.

1. Find $A \cap B$ when $a = 1$.
2. If $A \cap B = A$, find the range of values for $a$.

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