
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 non-empty sets, and define a new operation between sets $\otimes$: $P\otimes Q=\{x|x\in P\cup Q \text{ and } x\notin P\cap Q\}$. If $P=\{x|0\leq x\leq 2\}$ and $Q=\{x|x>1\}$, calculate $P\otimes Q$.

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