Sets
Sets..
Sets..Sets
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..Union of sets
If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given sets..
Operations on Sets
Union of sets - If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given sets..
Intersection of sets
A set can be formed by using all the common elements of two given sets. Such a collection is called the intersection of the given sets..
Equivalent Sets
Two finite sets A and B are said to be equivalent sets if cardinality of both sets are equal i.e. n (A) = n (B..
Application of sets
The theory of finite sets is, arguably, a definition of Combinatorics. In particular, certain combinatorial topics (e.g. Ramsey theory) have important direct analogues in "combinatorial" set theory. Since Axiomatic Set Theory is often used to construct the natura..
Notation of Sets
Capital letters are usually used to denote or represent a set. viz., A, B, C, D, . . . . The elements of sets are usually represented by lower case letters. viz., a, b, c, x, y, . ..
Sets Summary
Summary - A well-defined collection of definite objects is called a set. In roster method of representing a set, all the elements are listed in the set. In property method of representing a set, all the elements are represented by stating all the properties which are s..
Complement of a set
Let U be a universal set, A be any subset of U, then the elements of U which are not in A i.e., U - A is the complement of A w.r.t. U is written as A' = U - A = A c ..
Let U be a universal set, A be any subset of U, then the elements of U which are not in A i.e., U - A is the complement of A w.r.t. U is written as A' = U - A = A c .. Result
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