If A times B = {(a, x), (a, y), (b, x), (b, y | vedclass

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Question

(A) Given that $A 	imes B = \{(a, x), (a, y), (b, x), (b, y)\}$.We know that the Cartesian product of two non-empty sets $A$ and $B$ is defined as $A

Vedclass · Accepted Answer

$A = \{a, b\}, B = \{x, y\}$

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(A) Given that $A 	imes B = \{(a, x), (a, y), (b, x), (b, y)\}$.We know that the Cartesian product of two non-empty sets $A$ and $B$ is defined as $A 	imes B = \{(p, q) : p \in A, q \in B\}$.Therefore,$A$ is the set of all first elements of the ordered pairs in $A 	imes B$,and $B$ is the set of all second elements.Thus,$A = \{a, b\}$ and $B = \{x, y\}$.

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

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