(Set Operations and Relations MC)Given A = {1, 3, 6, 7} and B = {3, 4, 6}, determine A × B.A × B 3 4 61 (1, 3) (1, 4) (1, 6)3 (3, 3) (3, 4) (3, 6)6 (6, 3) (6, 4) (6, 6)7 (7, 3) (7, 4) (7, 6)A × B 3 4 61 (3, 1) (4, 1) (6, 1)3 (3, 3) (4, 3) (6, 3)6 (3, 6) (4, 6) (6, 6)7 (3, 7) (4, 7) (6, 7)A × B 1 3 6 73 (1, 3) (3, 3) (3, 6) (3, 7)4 (1, 4) (3, 4) (4, 6) (4, 7)6 (1, 6) (3, 6) (6, 6) (6, 7)A × B 1 3 6 73 (3, 1) (3, 3) (6, 3) (7, 3)4 (4, 1) (4, 3) (6, 4) (7, 4)6 (6, 1) (6, 3) (6, 6) (7, 6)
Question
(Set Operations and Relations MC)Given A = {1, 3, 6, 7} and B = {3, 4, 6}, determine A × B.A × B 3 4 61 (1, 3) (1, 4) (1, 6)3 (3, 3) (3, 4) (3, 6)6 (6, 3) (6, 4) (6, 6)7 (7, 3) (7, 4) (7, 6)A × B 3 4 61 (3, 1) (4, 1) (6, 1)3 (3, 3) (4, 3) (6, 3)6 (3, 6) (4, 6) (6, 6)7 (3, 7) (4, 7) (6, 7)A × B 1 3 6 73 (1, 3) (3, 3) (3, 6) (3, 7)4 (1, 4) (3, 4) (4, 6) (4, 7)6 (1, 6) (3, 6) (6, 6) (6, 7)A × B 1 3 6 73 (3, 1) (3, 3) (6, 3) (7, 3)4 (4, 1) (4, 3) (6, 4) (7, 4)6 (6, 1) (6, 3) (6, 6) (7, 6)
Solution
It seems like there's a misunderstanding. The text you provided is a set of ordered pairs resulting from the Cartesian product of two sets A and B. The Cartesian product, denoted A × B, is the set of all ordered pairs (a, b) where a is in A and b is in B.
From the sets A = {1, 3, 6, 7} and B = {3, 4, 6}, the Cartesian product A × B would be:
{(1, 3), (1, 4), (1, 6), (3, 3), (3, 4), (3, 6), (6, 3), (6, 4), (6, 6), (7, 3), (7, 4), (7, 6)}
This means that for every element in set A, we pair it with every element in set B. For example, the first element in A is 1, so we pair it with every element in B, giving us the ordered pairs (1, 3), (1, 4), and (1, 6). We then do the same for the next element in A, which is 3, and so on.
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