Question

If A and B are two sets, and A × B consists of 6 elements: If three elements of A × B are (2, 5) (3, 7) (4, 7) find A × B.​

Answer 1

Answer:

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Step-by-step explanation:

Since, (2, 5) (3, 7) and (4, 7) are elements of A × B.

So, we can say that 2, 3, 4 are the elements of A and 5, 7 are the elements of B.

So, A = {2, 3, 4} and B = {5, 7}

Now, A × B = {(2, 5); (2, 7); (3, 5); (3, 7); (4, 5); (4, 7)}

Thus, A × B contain six ordered pairs.

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Answer 2

Step-by-step explanation:

If three elements of A B are (x, 6), (y, 7), (z, 7) then it follows that x, y, z are elements of A and 6, 7 are elements of B. Again it is given that A B consists of 6 elements. So, A = {x, y, z} and B = {6,7}

Hence B A = {(6, x), (6, y), (6, z), (7, x), (7, y), (7, z)}

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