If U be a universal set containing numbers from 1 to 20 and A be a set containing numbers from 1 to 10. Then what will A' contain ?
Answers
Answer:
A and B have no elements in common. These sets do not overlap.
In example 1, A and B have no elements in common. (Each set is shaded with a different color to illustrate this.) Therefore, it is logical to assume that there is no relationship between these sets. However, if we consider these sets as part of a larger set, then there is a relationship between them. For example, consider the single-digit numbers 1 through 9: If {1, 2, 3, 4, 5, 6, 7, 8, 9} is our larger set, then A and B are part of that set. Thus A and B are each a subset of this larger set, called the Universal Set.
Definition: A Universal Set is the set of all elements under consideration, denoted by capital . All other sets are subsets of the universal set.
Example 2: Given  = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 5, 6} and B = {3, 9}, draw a Venn diagram to represent these sets.