Question

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)

Answer 1

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$