
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 $A=\{x\mid \frac {1}{2} < 2^{x} < 4\}$ and $B=\{x\mid0 < \log _{2}x < 2\}$.
(1) Find $A∩B$ and $A∪B$;
(2) Denote $M-N=\{x\mid x∈M$, and $x∉N\}$, find $A-B$ and $B-A$.

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