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 Description  
 Venn Diagram:  A picture that illustrates the relationship between two or more sets.

Venn diagrams use circles to enclose members of sets. If sets contain the same element(s) the circles overlap or intersect. If sets do not contain the same elements, there is no intersection or overlap.


For example, if H = {0, 3, 6, 9} and J = {0, 6, 12}, then the union of H and J is {0, 3, 6, 9, 12} and is indicated by the shaded region below.

H J


For example, if H = {0, 3, 6, 9} and J = {0, 6, 12}, then the intersection of H and J is {0, 6} and is indicated by the shaded region below.

H J

Suppose we have sets C = {6, 7, 8} and D = {9, 10, 11, 12}. The union of these sets are shown in Figure A while the intersection is shown in Figure B.

C D

C D