If A × B = {(p,x), (p,y), (q,x), (q,y)}, find set A{p, q}{x, y, p, q}{p, x, y}{x, y, q}

The question seems to be incomplete or incorrectly formatted. However, I can tell you that in the context of sets, A × B represents the Cartesian product of sets A and B. This is the set of all ordered pairs (a, b) where a is in A and b is in B.

From the given Cartesian product A × B = {(p,x), (p,y), (q,x), (q,y)}, we can infer that set A = {p, q} and set B = {x, y}.

The other sets you've mentioned ({x, y, p, q}, {p, x, y}, {x, y, q}) don't seem to relate directly to the Cartesian product given. If you could provide more context or clarify the question, I'd be happy to help further!