
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
Let P and Q be two sets, and define the set P-Q as $\{x | x \in P, \text{ and } x \notin Q\}$. If $P = \{x | \log_{2}x < 1\}$ and $Q = \{x | 3 < 3^{x} < 9\}$, then what is P-Q?

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