Venn Diagrams –
U
A
1
B
2
3
4
5
6
7
8
 : Union (or) take all portions included
 : Intersection (and) take only portion included in all
¬ : Complement – take all portions not included
Defining the Sets using
“numbered regions convention”:
U = {1, 2, 3, 4, 5, 6, 7, 8}
A = {2, 3, 5, 6}
B = {3, 4, 5, 7}
C = {5, 6, 7, 8}
C
Solve the following (Shade the region represented):
1. (A B)
2. (A  B)
3. A  B  C
4. (A  B)  C
5. A  (B  C)
6. ¬A  (B  C)
7. (A  B)  ¬ (B  C)
8. ¬ ((A  B)  C)
9. ¬ (A  C)  (A  C)
10.
¬C  ¬B
11.
A–B
12.
B - (A  C)
13.