Let \( \mathrm{A}=\{1,2,3\}, \mathrm{B}=\{-1,0,1,2,3\}, \mathrm{C}=\{1\} \), \( \mathrm{D}=\{-1,...
Let \( \mathrm{A}=\{1,2,3\}, \mathrm{B}=\{-1,0,1,2,3\}, \mathrm{C}=\{1\} \), \( \mathrm{D}=\{-1,1\} \).
Then verify the following :
\[
(\mathrm{A} \times \mathrm{B}) \cap(\mathrm{C} \times \mathrm{D})=(\mathrm{A} \cap \mathrm{C}) \times(\mathrm{B} \cap \mathrm{D})
\]
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