TABLE OF CONTENTS A set is any well-defined list, collection, or class of objects. The objects in a set can be anything: numbers, letters, cards, people, and so on. They are called the elements or members of a set.
The name of a set is usually denoted by a capital letter,
The elements of a set are usually denoted by small letters,
To specify that an element, a, is a member of a set, B, we say " a is in B" which is written
A set is called the null or empty set, denoted by 0, if it has no elements. We say the set A is a subset of the set B, written A ? B, if all the members of A are also in B. The universal set denoted by U is the set which contains all the members of the subsets. The complement of a set A is denoted as A ? and consists of all the elements in U that are not in A.
Sets are defined in either of two ways: 1) by listing the members in a tabular form, (for example, if A consists of the numbers 1,3,5,7, we write A = {1,3,5,7}) or 2) by stating the properties that the members must satisfy in a set-builder form. For example, B is the set of...
