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Csauve · Answer 1 · 2023-06-23T01:44:44+0000

Given:

A = {6, 2, 3, 4}, B = {5, 2, 3}, and C = {1, 2, 3}.

a) To find:

$A*(B\cup C)$

First, let us find BUC. We get

$B\cup C=\mleft\lbrace1,2,3,5\mright\rbrace$

Next, we find

$\begin{gathered} A*(B\cup C)=\mleft\lbrace2,3,4,6\mright\rbrace*\mleft\lbrace1,2,3,5\mright\rbrace \\ =\mleft\lbrace(2,1\mright),(2,2),(2,3),(2,5),(3,1),(3,2),(3,3),(3,5),(4,1),(4,2),(4,3),(4,5),(6,1),(6,2),(6,3),(6,5)\} \end{gathered}$

Hence, the answer is,

$\lbrace(2,1),(2,2),(2,3),(2,5),(3,1),(3,2),(3,3),(3,5),(4,1),(4,2),(4,3),(4,5),(6,1),(6,2),(6,3),(6,5)\}$

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