
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 the sets $A = \{x \mid (x-a)[x-(a+3)] \leq 0\}$ $(a \in \mathbb{R})$, and $B = \{x \mid x^2 - 4x - 5 > 0\}$:
1. If $A \cap B = \emptyset$, determine the range of values for the real number $a$.
2. If $A \cup B = B$, determine the range of values for the real number $a$.

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