NAGALAND Class 11-science Maths Sets
Set NotationsSet is a well defined collection of objects.
There are two ways of representing a set : Roster Form and Set Builder Form.
Sets with definite elements are finite and others are infinite.
Equal sets have exactly same elements. A set which does not contains elements is called empty set .
Subsets and SupersetsDefine sub sets and supersets of a set. Find the subsets of sets of real numbers and describe the interval notation. Power set and universal set.
Operations on SetsUnion of two sets A and B is the set of all the elements which are either in A or in B or in both.
Intersection of two sets A and B is the set of all elements common to both the sets.
Sets and operations on sets can be represented diagrammatically using Venn diagrams.
Sets which do not have any common elements are said to be disjoint.
Algebra of SetsDifference of A - B is the set of all elements that are present in A but not in B.
The set A - B is null set when A is subset of B and the set B U A = B when B contains A.
De'Morgan's Law states that the complement of the union of two sets is the intersection of their complements and the complement of intersection of two sets is the union of their complements.
Counting TheoremsApplication of set theory and Venn diagram to solve practical problems.