Question

If A B = {(a, x), (a, y), (b, x), (b, y)}, find A and B .

Answer 1

Given, A × B = {(a, x), (a, y), (b,x), (b, y)}

we know, if A = {r, s} and B = {p, q}
then, A × B = {(r, p), (r, q), (s, p), (s, q)}
obviously, we can say that A is the set of all first element in A × B
and B is the set of all 2nd elements in A × B.

Similarly, if we assume A is the set of all first elements in A × B and B is the set of all 2nd elements in A × B.
, A = {a, b} and B = {x , y}

Answer 2

Answer:

A = { a , b }

B = { x , y }

Step-by-step explanation:

******************************************

If A,B are two sets ,

A×B = { (x,y): x∈A , y∈B }

****************************************

Here ,

A×B = { (a,x),(a,y),(b,x),(b,y) }

A = { a,a,b,b } = { a,b}

B = { x,y }

.....