
### Instruction: help me answer this question If A × B = {(a, x), (a, y), (b, x), (b, y)}. Find A and B., think step by step
### Assistant:  , The answer is Given, A × B = {(a, x), (a, y), (b, x), (b, y)} We know that the Cartesian product of two non-empty sets, P and Q, is given by P × Q = {(p, q): p ∈ P, q ∈ Q} Hence, A is the set of all first elements, and B is the set of all second elements. Therefore, A = {a, b} and B = {x, y}
