introduction to Venn diagrams Venn diagrams are used to illustrate the relationship between a finite number of sets graphically these diagrams consists of rectangles and closed curves generally circles the universal set is represented usually by a rectangle and it's subsets by circles these are also known as primary diagram set diagram or logic diagram let's see an example consider the following two sets the universal set for these two sets could possibly be the set of integers from 1 to 5 we can draw the Venn diagram for these sets like this as discussed we have represented Universal set by a rectangle and the sets a and B as the circles within the rectangle the capital letter outside the rectangle and the circle denotes the name of the set while the letters inside them denote the elements of the set now consider the following two sets the universal sets for these sets remain the same as in the previous example the Venn diagram for these sets would look like this note that since the sets a and ve have one common element that is 3 it is shared by the circles representing these sets within the Venn diagram so we can see that the region of intersection of the circles includes the common elements of the sets let's discuss one more example consider the following two sets the universal set remains the same in this example as well we can drop a Venn diagram for these sets like this observe that the set B is the subset of the set a and hence the circle representing the set B lies completely within this circle representing the set a in the Venn diagram so this was about the introduction to the Venn diagrams in this video we learned what is a Venn diagram and how do we draw them in the upcoming videos we will see how Venn diagrams help in performing various set operations by illustrating the relation between the sets
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