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If $A=\{3,5,7\}$ and $B=\{1,2,3,5\}$, then $A \times B \cap B \times A$ is equal to
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Verified Answer
The correct answer is:
$\{(3,3),(3,5),(5,3),(5,5)\}$
$$
\begin{aligned}
& \text { } A \times B=\{(3,1),(3,2),(3,3),(3,5),(5,1),(5,2) \text {, } \\
& (5,3),(5,5),(7,1),(7,2),(7,3),(7,5)\} \\
& B \times A=\{(1,3),(1,5),(1,7),(2,3),(2,5)(2,7),(3,3), \\
& (3,5),(3,7),(5,3),(5,5),(5,7)\} \\
& \therefore A \times B \cap B \times A=\{(3,3),(3,5),(5,3),(5,5)\}
\end{aligned}
$$
\begin{aligned}
& \text { } A \times B=\{(3,1),(3,2),(3,3),(3,5),(5,1),(5,2) \text {, } \\
& (5,3),(5,5),(7,1),(7,2),(7,3),(7,5)\} \\
& B \times A=\{(1,3),(1,5),(1,7),(2,3),(2,5)(2,7),(3,3), \\
& (3,5),(3,7),(5,3),(5,5),(5,7)\} \\
& \therefore A \times B \cap B \times A=\{(3,3),(3,5),(5,3),(5,5)\}
\end{aligned}
$$
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