If A times B = {(p, q), (p, r), (m, q), (m, r | vedclass

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Question

(A) The Cartesian product $A 	imes B$ is defined as the set of all ordered pairs $(a, b)$ such that $a \in A$ and $b \in B$.Given $A 	imes B = \{(p,

Vedclass · Accepted Answer

$A = \{p, m\}, B = \{q, r\}$

Vedclass · Answer

(A) The Cartesian product $A 	imes B$ is defined as the set of all ordered pairs $(a, b)$ such that $a \in A$ and $b \in B$.Given $A 	imes B = \{(p, q), (p, r), (m, q), (m, r)\}$.$A$ is the set of all first elements of the ordered pairs in $A 	imes B$.Thus,$A = \{p, m\}$.$B$ is the set of all second elements of the ordered pairs in $A 	imes B$.Thus,$B = \{q, r\}$.

If $A \times B = \{(p, q), (p, r), (m, q), (m, r)\}$,find $A$ and $B$.

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