
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|a≤x≤a+3} and B={x|x^2-4x-12>0}.
(1) Find the range of real number a if A∩B=∅,
(2) Find the range of real number a if A∩B=A.

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