how many operations we can do through venn diagram
Answers
Answer:
Sets are treated as mathematical objects. Similarly to numbers, we can perform certain mathematical operations on sets. Below we consider the principal operations involving the intersection, union, difference, symmetric difference, and the complement of sets.
To visualize set operations, we will use Venn diagrams. In a Venn diagram, a rectangle shows the universal set, and all other sets are usually represented by circles within the rectangle. The shaded region represents the result of the operation.
Intersection of Sets
The intersection of two sets A and B is the set of elements which are in both sets A and B. The intersection of the two sets is written as A∩B.
Two sets are called disjoint if they have no elements in common.
Examples:
A={a,b,c}, B={k,ℓ,m}. These two sets are disjoint as they have no common elements. Their intersection is the empty set.
A∩B={a,b,c}∩{k,l,m}=∅.
C={1,2,3,4}, D={2,4,6,7}. The intersection of these sets is
C∩D={1,2,3,4}∩{2,4,6,7}={2,4}.