
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 that $A$ and $B$ are non-empty sets, define $A × B = {x | x ∈ A ∪ B$, and $x ∉ A ∩ B}$. If $A = {x | y = \sqrt{x^2 - 3x}}$ and $B = {y | y = 3^x}$, find $A × B =$ _____.

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