If we let A be the statement "I am rich" and B be the statement "I am happy", then the negation of "A and B" becomes "I am not rich or I am not happy" or "Not A or Not … The Null Set Or Empty Set. The only even prime number is 2. The set of natural numbers N, is an infinite set as the counting of numbers does not come to an end. It's probably best to show some examples of sets. In set theory, the complement of a set A, often denoted by (or ′), are the elements not in A.. There are some sets that do not contain any element at all. Thank you for your support! For example: Set of natural numbers = {1,2,3,…..} 2. Again, let's analyze an example first. In this tutorial, we look at some solved examples to understand how set theory works and the kind of problems it can be used to solve. ... is a set and 2 is not a set. In addition, the numbers 11 and 12 are not elements of D, but the set {11, 12} is an element of D. (If you are not logged into your Google account (ex., gMail, Docs), a login window opens when you click on +1. 1. Types of Sets. A set which contains only one element is a singleton set. In our example above, the complement of {-2, -1, 0, 1} is the set containing all the integers that do not satisfy the inequality. For this statement to be false I could be either not rich or not happy. Example 1: A {set of even prime numbers} Now A = {2}. It is usually represented in flower braces. Some examples of null sets are: The set of dogs with six legs. We can illustrate this definition using a new example. Thus, there are two methods for indicating a set of objects: 1) listing the elements and 2) describing the elements. If you like this Page, please click that +1 button, too.. When describing a set, It is not necessary to list every element in that set. When all sets under consideration are considered to be subsets of a given set U, the absolute complement of A is the set of elements in U, but not in A.. Empty or Null or Void Set Definition. Note: If a +1 button is dark blue, you have already +1'd it. Singleton set. Since, a Set is a well – defined collection of objects; depending on the objects and their characteristics, there are many types of Sets which are explained with suitable examples, as follows: –. The set of squares with 5 sides. We call a set with no elements the null or empty set. Example 10: What is the set of all letters in the English alphabet? We will distinguish between these two methods in examples 10 and 11 below. If you like this Site about Solving Math Problems, please let Google know by clicking the +1 button. For example, the set of months with 32 days. A set is a collection of objects. The set of integers is an infinite set. All other prime numbers are odd. It is represented by the symbol { } or Ø. Consider the statement "I am both rich and happy."