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If 𝐴×𝐵 = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)} then find set B.

Question

If 𝐴×𝐵 = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)} then find set B.

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Solution

The set B can be found by looking at the second element in each ordered pair of the Cartesian product A×B. From the given set {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)}, we can see that the second elements are 'a', 'b', and 'c'. Therefore, the set B is {a, b, c}.

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