Definition of Improper Subset A set is called Improper Subset of set only when all the elements of set and are equal to each other and there is no extra element in any of the sets. Improper Subsets can simply be called Subsets. If a set is an Improper Subset of another set, then both … Read more
Augustus De Morgan who was a British Mathematician and Logician, formulated two laws about sets, they are
The intersection of two sets A and B is the collection of all the elements which are common in both the sets A and B. Intersection of two sets A and B can be denoted by A ∩ B.
The union of two sets A and B is the collection of all the elements which are present either in set A or in set B. Union of two sets A and B can be denoted by A ∪ B.
Definition of Empty Set An Empty Set or Null Set may be defined as a unique set that has no elements in it. Therefore, the size of an Empty Set is zero as it has no elements present. Also, the Cardinality of an Empty Set or Null Set is Zero . An Empty Set sometimes … Read more
A set A is called a proper subset of B only when Set A and set B are not equal and Set A is a subset of set B. A set A is called improper subset of B only when all the elements of set A and B are equal. Improper subsets can simply be called subsets. If a set is an improper subset of another set, then both sets are equal.
Subset What is Subset of a Set? Set is called a Subset of set if all the elements of set are present in set . Also, the set , in this case, can be called the Superset of the set . Subset Symbol If set is a Subset of set , then mathematically, it can … Read more
Complement of a set A is the set of all the elements present in its universal set U but not in the set A. The general representation of complement of a set is A’. Properties of Complement of a Set: