Complement Set Example

Here you will learn what is the complement of a set definition with venn diagram and examples. Let's begin - Complement of a Set. Definition Let U be the universal set and let A be a set such that A 9292subset92 U.Then, the complement of A with respect to U is denoted by A' or 92Ac92 or U - A and is defined the set of all those elements of U which are not in A.

Get to know more about the complement of a set, its definition, and the process to calculate the set complement from this page. You can also see the solved examples for a better understanding of the concept. Complement of a Set - Definition. Complement of a set A is denoted by A c or A'. The complement of set A means Universal set minus set

Example 2 If U is the universal set containing 50 students of class X of a coeducational school and A be the set of all girls and it contains 25 girls. Find the number of elements of the complement of a set of girls. Solution If set A contains all girls then the complement of set A is a set of all boys.

The complement of a set A can be defined as the difference between the universal set and set A. We will cover the following topics in this article What is the complement of a set? Venn diagram representing the complement of the set. Properties of the complement of a set. The complement laws. Examples Practice problems.

In mathematical form, complement of a set can be expressed as A c x xU and xA In simple terms, A c U-A Here, the complement of set A is computed with respect to universal set considering set A is a subset of universal set U. This type of complement is known as absolute complement. Complement of Set Examples Example 1

The complement of a set is the region of the universal set outside the set A. The Venn diagram of the complement of set A is shown below. Here, the shaded portion in yellow shows the complement of set A. If we have two sets that intersect each other, the complements of sets can be represented as follows Cardinality of the Complement of a Set

The following diagram shows the complement of a set. Scroll down the page for more examples and solutions on the complement of a set. The complement of set A, denoted by A' , is the set of all elements in the universal set that are not in A.. The number of elements of A and the number of elements of A ' make up the total number of elements in U .

In our example above, the complement of -2, -1, 0, 1 is the set containing all the integers that do not satisfy the inequality. We can illustrate this definition using a new example.

How to Find the Complement of a Set? The complement of a set is simply found by excluding the elements of the given set from the universal set. This is shown in the example below. Example Find the complement of set S 4, 8, 12, 16, where the universal set is all multiples of 4 that are smaller than 50. Solution

The complement of a set is the set consisting of all elements present in the universal set but not in the original set. Symbol. When writing the complement of a set, an apostrophe ' or a superscript c c notation is used.If 'A' is a set, then its complement is represented by the symbol A' or A c and is mathematically expressed as . A' x x U and x A