Table of Contents
Definition of Sets
A set is a collection of objects, usually denoted by a letter like A, B, C, etc. The objects in a set are called its elements.
To denote a set, you write the elements inside curly braces { }. For example, the set of all natural numbers is written as {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50}.
To indicate that a set contains a certain element, you put the element inside square brackets [ ] after the set’s name. For example, the set of all whole numbers that are less than 10 is written as [1, 2, 3, 4, 5, 6, 7, 8, 9].
There are a few things to keep in mind when working with sets:
– Sets can be finite or infinite. A finite set has a fixed number of elements, while an infinite set has an unlimited number of elements.
– The order of elements in a set doesn’t matter.
– You can’t have duplicate elements in a
What are the Elements of a Set?
The elements of a set are the members of that set. Sets can be composed of anything, including numbers, letters, words, animals, or other sets.
What Does Order of Sets Mean?
When two sets are said to be ordered, it means that the elements of the first set are listed in a specific order and the elements of the second set are listed in the same order as the elements of the first set.
Representation of Sets
A set is a collection of objects, usually denoted by curly braces {}. The objects in a set are called its elements.
For example, the set {1, 2, 3} contains the elements 1, 2, and 3.
The cardinality of a set is the number of elements in the set.
The order of elements in a set does not matter. For example, {1, 2, 3} is the same as {3, 2, 1}.
A set can be empty, meaning it has no elements. For example, the set { } contains no elements.
A set can also be infinite, meaning it has an infinite number of elements. For example, the set of all natural numbers {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, …} is infinite.
Set Builder Form
What is the set of all real numbers greater than 0?
The set of all real numbers greater than 0 is the set of all real numbers.
Maths Sets Questions
1. In a set, what is the cardinality?
The cardinality is the number of elements in a set.
Maths Sets Questions
1. A set is a collection of objects.
2. The objects in a set can be anything: numbers, letters, shapes, colors, etc.
3. A set can be finite or infinite.
4. A set can be expressed in many ways: using words, using symbols, or using a combination of both.
5. The cardinality of a set is the number of objects in the set.
6. The order of elements in a set doesn’t matter.
7. Two sets are equal if they have the same cardinality and the same elements in the same order.
8. A set can be represented using a Venn diagram.
