Answer to Question #243858 in Discrete Mathematics for three

Question

LetA={0,2,4,6,8},B={0,1,2,3,4},andC={0,3,6,9}.Find the following:

1. A∪B∪C
2. A∩B∩C
3. (A∪B∪C)𝐶

4.(A∩B∩C)𝐶

5.(A∪B)∩C)𝐶 

Answer 1

1.

$$A∪B∪C=\{0,1,2,3,4,6,8,9\}$$

2.

$$A∩B∩C=\{0\}$$

3.

$$(A∪B∪C)^C=\{\empty\}$$

4.

$$(A∩B∩C)^C=\{1,2,3,4,6,8,9\}$$

5.

$$((A∪B)∩C)^𝐶 =\{1,2,4,8,9\}$$