Venn Diagrams And Classifications Worksheet With Answer Key Page 4
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6VENN DIAGRAMS AND SETS
A Venn diagram is also a tool used to show intersections, unions, and complements of sets.
These items belong
A
B
to set A.
These items belong to
set B.
C
Anything listed outside
These items belong to
belongs to the universal set
both sets A and B.
but neither set A nor B.
Example: In this Venn diagram
4
3
A
B
6
5
2
8
7
1
The universal set = {1, 2, 3, 4, 5, 6, 7, 8}
Set A = {2, 4, 6, 8}
Set B = {2, 3, 5, 7}
A ! B = {2, 3, 4, 5, 6, 7}: The union of A and B–everything that is in either A or B.
A ! B = {2}: The intersection of A and B–everything that is in both A and B.
C
= {1, 3, 5, 7}: The complement of A–everything in the universe and not in A.
A
C
= {1, 4, 6, 8}: The complement of B–everything in the universe and not in B.
B
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