
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 sets A={x|-3＜x＜4} and B={x|x^2-4ax+3a^2=0}.  
(1) If A∩B=∅, find the range of real number a;  
(2) If A∪B=A, find the range of real number a.

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