
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 $A=\{x|x^{2}-3(a+1)x+2(3a+1) < 0\}$ and $B=\{x| \frac {x-2a}{x-(a^{2}+1)} < 0\}$,
(1) Find $A∩B$ when $a=2$;
(2) Find the range of real number $a$ such that $B⊆A$.

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