Question

9. Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (2, 1)
are in AXB, find A and B, where x, y and z are distinct elements.​

Answer 1

It is given that n(A)=3 and n(B)=2 and (x,1),(y,2),(z,1) are in A×B 

We know that A= Set of first elements of the ordered pair elements of A×B

B= Set of second elements of ordered pair elements of A×B

∴x,y and z are the elements of A and 1 and 2 are the elements of B

Since n(A)=3 and n(B)=2 it is clear that A={x,y,z} and B={1,2}

Answer 2

Answer:

A × B contains (x, 1), (y, 2), (2, 1)

A is the set of all first elements

i.e. A= {x,y,z} (Since first element contains x,y and z)

and

B is the set of all second elements

B= {1,2} (Since second element contains only 1 and 2)

Step-by-step explanation:

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