જો A times B={(a, x),(a, y),(b, x),(b, y)}, ત | vedclass

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Question

If is given that $A 	imes B=\{(a, x),(a, y),(b, x),(b, y)\}$

We know that the Cartesian product of two non-empty sets $P$ and $Q$ is defined as

$P

Vedclass · Accepted Answer

$\{ a,b\} $ and $\{ x,y\} $

Vedclass · Answer

If is given that $A 	imes B=\{(a, x),(a, y),(b, x),(b, y)\}$

We know that the Cartesian product of two non-empty sets $P$ and $Q$ is defined as

$P 	imes Q=\{(p, q): p \in P, q \in Q\}$

$	herefore $  $A$ is the set of all first elements and $B$ is the set of all second elements.

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

જો $A \times B=\{(a, x),(a, y),(b, x),(b, y)\},$ તો $A$ અને $B$ શોધો.