
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 set $A = \{x \mid a-1 < x < a+2\}$, the domain of the function $y = \frac{\log_{2}(x+1)}{\sqrt{2-x}}$ is the set $B$.
(Ⅰ) If $a=1$, find $A \cup B$.
(Ⅱ) If $A \cap B = \emptyset$, find the range of values for the real number $a$.

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