If A × B = {(p,x), (p,y), (q,x), (q,y)}, find set A
Question
If A × B = {(p,x), (p,y), (q,x), (q,y)}, find set A
Solution
The given set is a Cartesian product of two sets A and B. The Cartesian product is defined as A × B = {(a, b) | a ∈ A, b ∈ B}.
From the given set {(p,x), (p,y), (q,x), (q,y)}, we can see that the first elements of each ordered pair form a set {p, q}.
Therefore, the set A is {p, q}.
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