
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 $A=\{x|(x-2)(x-2a-5)<0\}$, and the domain of the function $$y=\log \frac {x-(a^{2}+2)}{2a-x}$$ is set $B$.
(1) If $a=4$, find the intersection of set $A$ and $B$;
(2) Given $$a>- \frac {3}{2}$$, and "x∈A" is a necessary condition for "x∈B", find the range of the real number $a$.

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