Ordered Pairs and Equality of an Ordered Pairs

Difference of sets Let A and B be two sets. The difference of A and B written as A – B, is the set of all those elements of A which do not belong to set B Thus A – B={ x : x ∈ A and x  ∉ B} or  A – B={ x…

Complement of a set Let U be the universal set and let A be a set such that A ⊂ U. Then the complement of A with respect to U is denoted by A’ or Ac or U-A and is defined the set of all those elements of U which are not in A. Thus…

Disjoint sets Two sets A and B are said to be disjoint, if A∩B=Φ. If A∩B≠Φ, then A and B are said to be intersecting or overlapping sets As shown in Fig(vi) Fig(vi)  Example If A={ 1, 2, 3, 4, 5, 6 }, B={ 7, 8, 9, 10, 11 } and C= { 6, 8, 10,…

Universal set In any discussion in set theory, there always happens to be a set that contains all sets under consideration i.e. it is a super  set of each of the given sets. Such a set is called the universal set and is denoted by U. Thus a set that contains all sets in a…

Function as a correspondence   Let A and B be two non-empty sets. Then a function ‘f ‘ from set A  to set B is a rule or method or correspondence which associates elements of set A to elements of set B such  that: Fig. 2(a) (i) all elements of set A are associated to…

SI (System of international) system of units The SI system consists of seven basic units and two supplementary units. These are represented in table 1 . The unit for other quantities are derived from the basic units which are given in table 2. It is convenient to use prefix to avoid the use of very…