
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-a)(x-3a)<0, a>0} and B={x|x=2^(t-2), 2<t<3}.
1. If a=1, find A∩(∁\_RB);
2. Given proposition p: x∈A, and proposition q: x∈B, if q is a necessary but not sufficient condition for p, find the range of values for the real number a.

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