Definition of SETS, Union, Intersection and Complement

Definition of SETS, Union, Intersection and ComplementBenjamin Quarshie particle A Assignment Information Set TheoryExplain the future(a) terms SETSThe word execute is gener aloney associated with the idea of grouping objects, such(prenominal)(prenominal) as a circuit of records, books, crop plants and other words such as herd, herd, herd, plots, peasantry, family, etc. Saying the word entrap denotes a accumulation of elements clearly between them, which keep some characteristic in common. Be it numbers, batch, figures, ideas and concepts.In mathematics, the concept of a enclothe is bowl overed primitive and does not draw a definition of it, but rather works with the musical note of arrangement and grouping of objects, so it may be said that the ideas of element and belong atomic number 18 considered primitive.The essential characteristic of a develop is to be rise up delimit, i.e. given a particular object, to determine whether or not it belongs to the set. For exam ple, if we consider the set of digit numbers, we know that 3 belong to the set, but 19 do not. On the other hand the set of beautiful musical theater works is not a well defined set, since different people potty include different works in the set.Objects that form a set are called members or elements. For example the set of letters of first rudiment A b c x, y, z which can be scripted like thisExample of two sets, A and BUNIONThe totality of sets corresponds to the unification of the elements of two conjuncts or even more sets, which may from this defecate a new form of set, in which the elements within it correspond to the elements of the master sets. When an element is repeated, it forms part of the man and wife 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 operati on, which requires the mover and two arguments to be able to calculate a value) in the set of all subsets of a U, Universal 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(prenominal) 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 make by the elements that have in common both sets. The mathematical product of A and B is denoted. In diagrams all the elements in their respective sets are first represented and then the zone belonging to both sets is coloured.full 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 beingness used, or otherwise, what the universal set is. For example, if one speaks of natural numbers, the complement of the set of prime numbers P is the set of non-prime numbers C, which is composed of the conglomerate numbers and the 1UNIVERSAL SETThis is called the set that contains all the elements. This set depends on the problem being studied, is a set whose object of think over 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 lift 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 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 = 2,4,5,6,8,10,1 2,14,15,16,18,20,25,302.2 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 pastime subsets B (the set of Boxers), L (the set of Labradors) and P (the set of Poodles). evince 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