Question

Given the universal set U = {0, 1, 2, 3, 4, 5, 6, 7, 8} and sets A = {0, 2, 4, 6, 8}, B = {1, 3, 5, 7}, and C = {3, 4, 5, 6}, list the elements in the sets describeda. A Cb. C’ B

Answer 1

Recall that:

`\begin{gathered} A\cap C=\lbrace x|x\in A\text{ and }x\in C\rbrace, \\ A\cup C=\lbrace x|x\in A\text{ or }x\in C\rbrace. \\ C^(\prime)=U\setminus C. \end{gathered}`

Therefore:

a)

`A\cap C=\lbrace4,6\rbrace.`

b) Notice that:

`C^(\prime)=\lbrace0,1,2,7,8\rbrace.`

Then:

`C^(\prime)\cup B=\lbrace0,1,2,3,5,7,8\rbrace.`

Answer:

(a)

`A\cap C=\lbrace4,6\rbrace.`

(b)

`C^(\prime)\cup B=\lbrace0,1,2,3,5,7,8\rbrace.`