
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 universal set $U=\mathbb{R}$, the function $f(x) = \frac{1}{\sqrt{x+2}} + \log(3-x)$ has a domain of set $A$, and set $B = \{x | a < x < 2a-1\}$.
(Ⅰ) Find the complement of $A$ in $U$;
(Ⅱ) If $A \cup B = A$, find the range of the real number $a$.

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