
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 an operation "$\otimes$" between sets: $P \otimes Q = \{x | x \in P \cup Q$ and $x \notin P \cap Q \}$. If $P = \{x | 0 \leqslant x \leqslant 2 \}$ and $Q = \{x | x > 1 \}$, then determine the set $P \otimes Q$.

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