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Set. Definition: A set is a (unordered) collection of objects. These objects are sometimes called elements or members of the set. (Cantor's naive definition) Examples: Vowels in the English alphabet. V = { a, e, i, o, u } First seven prime numbers. X = { 2, 3, 5, 7, 11, 13, 17 }
Sequences, Sums and Matrices. Much of discrete mathematics is devoted to the study of discrete structures, used to represent discrete objects. Many important discrete structures are built using sets, which are collections of objects.
In worksheet on set we will solve 12 different types of questions. The questions on sets are basically related on elements of set and notation of a set, representation of a set, cardinal number of a set, and also types and pairs of set. 1. Which of the following are sets? Justify your answer.
SET THEORY PROBLEMS. SOLUTIONS. * (1) Formal as a Tux and Informal as Jeans. Describe the following sets in both formal and informal ways. Formal Set Notation Description. Informal English Description. {2, 4, 6, 8, 10, ...} The set of all positive even integers.
Basic Concepts of Set Theory. 1.1. Sets and elements. Set theory is a basis of modern mathematics, and notions of set theory are used in all formal descriptions.
Chapter 1. Sets. This section will show you how to: use set language and notation, and Venn diagrams to describe sets and represent relationships between sets. N Z R Q. Exercise 1.1. 1 E = = x. < x < x. = A < x. ′. = 2 E x. = x. = B x > = C x. A ∩ B. = 3 E x. ( A ∩ B ) ′ ∩ C. < x < x. x = P x. − x + = = Q x − < x ∈ P. 4 E = x. = A < x.
Sets. set is a collection of objects, called its elements. We write x 2 A to mean that x is an element of a set A, we also say that x belongs to A or that x is in. If A and B are sets, we say that B is a subset of A if every element of B is an element of A. In this case we also say that A contains B, and we write. B A.
