Question

If AXB={(a, 1),(b,3),(a,3),(b,1),(a,2),(b,2)} . then Find A and B​

Answer 1

SOLUTION

GIVEN

A × B = {(a, 1),(b,3),(a,3),(b,1),(a,2),(b,2)}

TO DETERMINE

The set A and B

CONCEPT TO BE IMPLEMENTED

For two sets A and B the Cartesian product of A and B is denoted by A × B and defined as

A × B = { (a, b) : a ∈ A and b ∈ B }

EVALUATION

Here it is given that

A × B = {(a, 1),(b,3),(a,3),(b,1),(a,2),(b,2)}

Hence from above definition we can conclude that

A = { a , b }

B = { 1 , 2 , 3 }

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