If set P x Q = {(x,1), (x,2), (x,3), (y,1), (y,2), (y,3),(z,1), (z,2), (z,3)}. What is set Q?
Question
If set P x Q = {(x,1), (x,2), (x,3), (y,1), (y,2), (y,3),(z,1), (z,2), (z,3)}. What is set Q?
Solution
The set Q is {1, 2, 3}. This is because in a Cartesian product of two sets P and Q (denoted as P x Q), each element of set P is paired with each element of set Q. In the given set P x Q, the elements of set Q are 1, 2, and 3 as these are the second elements in each ordered pair.
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