
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 $$A=\{x|2- \frac {x+3}{x+1}\geq 0\}$$ and $$B=\{x|(x-a-1)(x-2a)<0\}$$, where $$a<1$$  
(1) Find the sets A and B;  
(2) If $$A\cup B=A$$, find the range of the real number $$a$$.

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