
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 $A$ and $B$ be non-empty sets, defined as $A \times B = \{x | x \in (A \cup B) \text{ and } x \notin (A \cap B)\}$. Given $A = \{x | 0 \leq x \leq 2\}$ and $B = \{y | y \geq 0\}$, find $A \times B$.

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