Sets - Definitions,types and examples of sets
Welcome Back to My Blog! Today, we’re diving into the fascinating world of sets. Stay tuned as we embark on this interesting adventure! So, What Are Sets? In mathematics, sets are collections of well-defined objects. They are usually denoted by capital letters, and their elements are enclosed in curly brackets { }. For example, a set A can be defined as the collection of even numbers less than 10.This statement can be written as A = {2, 4, 6, 8}. Members/Elements of Sets The members or elements of a set refer to the individual objects within that set. For instance, in the set A = {1, 2}, the elements are 1 and 2. The symbol ∈ indicates membership, meaning "is an element of." For example, 1 ∈ A means "1 is a member of set A." The number of elements in set A can be expressed as n(A) = 2, indicating that set A has two elements. Let's consider another example. For set H = {5, 10, 15, 20}, we find that n(H) = 4 since there are four elements in set H. Types of Sets 1....