Definition of SETS, Union, Intersection and Complement

Definition of SETS, Union, Intersection and ComplementBenjamin QuarshieSection A Assignment Information Set Theory beg off the following terms SETSThe word secure is generally associated with the idea of grouping objects, much(prenominal) as a set of records, books, crop plants and other words such as herd, herd, herd, plots, peasantry, family, etc. Saying the word set denotes a collection of elements clearly between them, which keep some characteristic in earthy. Be it numbers, people, figures, ideas and concepts.In math, the concept of a set is considered primitive and does not give a definition of it, but rather works with the notation of collection and grouping of objects, so it may be said that the ideas of element and belonging are considered primitive.The essential characteristic of a set is to be well defined, i.e. given a crabbed object, to determine whether or not it belongs to the set. For example, if we consider the set of digit numbers, we know that 3 belong to th e set, but 19 do not. On the other sight the set of beautiful musical works is not a well defined set, since different people can include different works in the set.Objects that form a set are called members or elements. For example the set of letters of alphabet A b c x, y, z which can be written like thisExample of two sets, A and BUNIONThe jointure of sets corresponds to the unification of the elements of two conjuncts or even more sets, which may from this spend a penny a new form of set, in which the elements within it correspond to the elements of the original sets. When an element is repeated, it forms part of the union set once only This differs from the union of sets in the traditional conception of addition, in which common elements are considered as many times as they are in the totality of sets. We can say that the union of sets is a binary operation (that mathematical operation, which requires the operator and two arguments to be able to calculate a value) in the se t of all subsets of a U, frequent Set consisting of all elements of the reference theme) given. By which each pair of sets A and B of U is associated with another set (A U B) of U. If A and B are two sets, the union is defined as followsINTERSECTIONThe Intersection of two or more sets is the set formed by the elements that have in common both(prenominal) sets. The intersection of A and B is denoted. In diagrams all the elements in their respective sets are first re beared and then the zone belonging to both sets is coloured.COMPLEMENTThe complement of a complementary set or set is another set that contains all elements that are not in the original set. In order to define it, it is necessary to specify what type of elements are being used, or otherwise, what the universal set is. For example, if one speaks of natural numbers, the complement of the set of strand numbers P is the set of non-prime numbers C, which is composed of the compound numbers and the 1UNIVERSAL SETThis is call ed the set that contains all the elements. This set depends on the chore being studied, is a set whose object of study are the subsets of it. Primarily the universal whole was considered as the set of all things, but at present it is proved that this set does not exist. At the present time it should be made clear which set is being treated. If we treat sets whose elements are letters, the universal set would be the one that was formed by all the letters of the alphabet. The complement of the universe (or referential) set is the empty set. The universal set is indicated by the letter U and sometimes indicated by the letter S.POWER SET2.5 Venn DiagramsSET A (EVEN NUMBERS) SET B (NUMBERS DIVISIBLE BY 5)Show the 2 sets using wall bracket notationSET A = 2,4,6,8,10,12,14,16,18,20SET B = 5,10,15,20,25,302.2 The union of set A and set B are listed below A U B = 2,4,5,6,8,10,12,14,15,16,18,20,25,302.2 The intersection of Set A and Set BA n B = 30,8,2,10,14,252.3 The Complement of Set Ad) D is the set of dogs which includes the following subsets B (the set of Boxers), L (the set of Labradors) and P (the set of Poodles). Express the power set of D using bracket notation.SET BSET PSET LReferencesWebpage http//study.com/academy/lesson/union-of-sets-in-math-definition-terms-symbol.html Accessed on 24/02/2017Webpage https//www.reference.com/math/well-defined-set-mathematics-4895437ff1cbabd9 Accessed on 24/02/2017Webpage http//searchsecurity.techtarget.com/definition/set Accessed on 27/02/2017