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.