
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 | -1 < x < 2} and B={x | log<sub>2</sub>x > 0}.  
(1) Find A ∩ B and A ∪ B;  
(2) Define A-B={x | x ∈ A and x ∉ B}, find A-B and B-A.

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