
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 universal set U = R, set A = {x | 0 < log₃x < 1}, and set B = {x | 2m < x < 1 - m}.
1. Find A ∪ B and (A⁰ᵤ) ∩ B when m = -1.
2. Find the range of real number m if A ∩ B = A.

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