
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 $A={y|y=2^{x},1≤x≤2}$, $B={x|0 < \ln x < 1}$, and $C={x|t+1 < x < 2t, t∈R}$.

1. Find $A∩B$;
2. If $A∩C=C$, find the range of values for $t$.

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