Table of Contents
Sets in Maths
A set is a collection of unique objects. In maths, sets are usually denoted by capital letters, such as A, B, C, etc.
There are a few key things to know about sets:
1. The objects in a set are called its members.
2. Sets can be finite or infinite. A finite set has a definite number of members, while an infinite set has an indefinite number of members.
3. A set can be described by listing its members, or by giving a rule that describes all of its members.
4. Two sets are equal if they have the same members.
5. The cardinality of a set is the number of members it has.
6. The intersection of two sets is the set of members that are in both sets.
7. The union of two sets is the set of members that are in either set.
8. The difference of two sets is the set of members that are in the first set but not in the second set.
What is Set, What are Types of Sets, and Their Symbols?
A set is a collection of objects, usually denoted by a capital letter, such as A, B, or C. The objects in a set are called its elements.
There are two types of sets:
1. finite sets: A set with a finite number of elements.
2. infinite sets: A set with an infinite number of elements.
The symbol for a set is a curly bracket, { }. The elements in a set are listed within the curly brackets, separated by commas. For example, the set {1, 2, 3} consists of the numbers 1, 2, and 3.
Union, Intersection, Difference, and Complement of Sets
Union of Sets: The union of two sets A and B, denoted by A ∪ B, is the set of all elements that are in A or in B or in both A and B.
Intersection of Sets: The intersection of two sets A and B, denoted by A ∩ B, is the set of all elements that are in both A and B.
Difference of Sets: The difference of two sets A and B, denoted by A − B, is the set of all elements that are in A but not in B.
Complement of Sets: The complement of a set A, denoted by A′, is the set of all elements that are not in A.
