
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 function $$f(x)= \sqrt {(1+x)(2-x)}$$, its domain is set A, and the function $g(x)=\ln(x-a)$ has its domain as set B.  
(1) Find the sets A and B;  
(2) If $A \cap B$ has at least one element, find the range of the real number $a$.

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