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What is the Cartesian Product of A = {4, 8} and B = {9, 2, s}?

User Hui Zheng
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Final answer:

The Cartesian Product of sets A = {4, 8} and B = {9, 2, s} is: {(4,9), (4,2), (4,s), (8,9), (8,2), (8,s)}.

Step-by-step explanation:

The Cartesian Product of two sets A and B is the set of all possible ordered pairs where the first element is from set A and the second element is from set B. Given the sets A = {4, 8} and B = {9, 2, s}, the Cartesian Product A × B is obtained by pairing each element of A with each element of B.

To compute the Cartesian Product, we take the first element of A, which is 4, and pair it with each element of B. This gives us: (4,9), (4,2), (4,s). We then repeat this process with the second element of A, which is 8, to obtain: (8,9), (8,2), (8,s). Combining all these pairs together, the Cartesian Product A × B is thus:

{(4,9), (4,2), (4,s), (8,9), (8,2), (8,s)}

User Srijanshukla
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