Math 161 – Venn Diagrams Worksheet Solutions
Consider the sets A = {1, 3, 5}, B = {3, 4, 5}, and U = {1, 2, 3, 4, 5}. Put these elements into the appropriate spaces on the following Venn diagram:
U 3 1 5 4
A
B 2
Shade in the following diagrams according to the set labels below them:
A
A
A∪B
A∩B
Let’s do a more complicated one by steps: A ∩ B
A
B
A ∩B Another example: A ∪ B
A∪B
A∪B
What do you notice about the results of the last two exercises? Same! (De Morgan’s Law)
Venn Diagrams with Three Sets
Shade in the following diagrams according to the set labels below them:
A
B
C
A∩B
A∩B∩C
(A∩B)∪C
(A∩B)∪ C