Question

Let A = {0, 2, 4, 6}, B = {1, 2, 3, 4, 5}, and C = {1, 3, 5, 7}. Find AU (BNC).{

Answer 1

Given that;

`\begin{gathered} A=\left\{0,2,4,6\right\} \\ B=\left\{1,2,3,4,5\right\} \\ C=\left\{1,3,5,7\right\} \end{gathered}`

For B∩C, i.e . common elements between bot sets

`B\cap C=\lbrace1,3,5\rbrace`

Then, A∪(B∪C), i.e. all the elements in A and B∩C

`A∪\left(B∪C\right)=\lbrace0,1,2,3,4,5,6\rbrace`

Hence, A∪(B∪C) is

`\begin{equation*} \lbrace0,1,2,3,4,5,6\rbrace \end{equation*}`