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27 votes
27 votes
U= {1,2,3,4,5,6,7,8,}, A={1,4,5,7}, B= {2,5,6,7,}, and C= {3,4,6,7}Complete the following set operations:a. AU(BUC)

User Boris Silantev
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1 Answer

20 votes
20 votes

SOLUTION:

Step 1:

In this question, we are given the following:

U= {1,2,3,4,5,6,7,8,}, A={1,4,5,7}, B= {2,5,6,7,}, and C= {3,4,6,7}

Complete the following set operations:

a. AU(BUC)

Step 2:


\begin{gathered} Given\text{ that:} \\ A\text{ = }\lbrace\text{ 1, 4 , 5 , 7 }\rbrace \\ B\text{ = }\lbrace\text{ 2, 5, 6, 7 }\rbrace \\ C\text{ = }\lbrace\text{ 3, 4, 6 , 7 }\rbrace \\ Then,\text{ we can see that:} \end{gathered}
A\text{ U \lparen B U C \rparen = }\lbrace\text{ 1 , 2 , 3 , 4, 5 , 6 , 7 }\rbrace

User John Linhart
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