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If $A=\{2,4\}, \quad B=\{3,4,5\}$, then $(\mathrm{A} \cap \mathrm{B}) \times(\mathrm{AUB})=$
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Verified Answer
The correct answer is:
$\{(4,2),(4,3),(4,4),(4,5)\}$
$\mathrm{A} \cap \mathrm{B}=\{4\}$
$\mathrm{A} \cup \mathrm{B}=\{2,3,4,5\}$
Hence
$(\mathrm{A} \cap \mathrm{B}) \times(\mathrm{A} \cup \mathrm{B})$
$=\{(4,2),(4,3),(4,4),(4,5)\}$
$\mathrm{A} \cup \mathrm{B}=\{2,3,4,5\}$
Hence
$(\mathrm{A} \cap \mathrm{B}) \times(\mathrm{A} \cup \mathrm{B})$
$=\{(4,2),(4,3),(4,4),(4,5)\}$
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