We have already seen different ways of representing sets using diagrams. Let us learn
about Venn-Euler diagram or simply Venn-diagram. It is one of the ways of representing the
relationships between sets. These diagrams consist of rectangles and closed curves usually
circles.
As mentioned earlier in the chapter, the universal set is
usually represented by a rectangle.
(i) Consider that m = {1, 2, 3, …., 10} is the universal set
for which, A = {2, 4, 6, 8, 10} is a subset. Then the
Venn-diagram is as:
(ii) m = {1, 2, 3, …., 10} is the universal set of which, A
= {2, 4, 6, 8, 10} and B = {4, 6} are subsets and
also B Ì A. Then, the Venn-diagram is :
(iii) Let A = {a, b, c, d} and B = {c, d, e, f }.
Then we illustrate these sets with a Venn diagram as