Related Topics: More Lessons on Sets

These lessons are part of a series of lessons on sets.

In these lessons, we will learn the concept of a set, methods for defining sets, set notations, empty set, symbols for ‘is an element of’, subset, intersection and union.

The following table gives a summary of the symbols use in sets.

### Sets

A set is a well-defined collection of distinct objects.

The individual objects in a set are called the**members** or **elements** of the set.

Some notations for sets are:

A = {1, 2, 3} = {integers greater than 0 and less than 4} = {x: x is an integer and 0 < x < 4}

We also have the empty set denoted by {} or Ø.

We can have infinite sets for example {1, 2, 3, ...}

We have a symbol showing membership.We relate a member and a set using the symbol ∈. If an object*x* is an element of set *A*,
we write* x* ∈ *A*. If an object *z* is not an element of set *A*, we write *z* ∉ *A*.

### Videos

This video introduces the concept of a set and various methods for defining sets.
Set Notation(s)

A discussion of set notation: lists, descriptions, and set-builder notation.

The following video describes: Set Notations, Empty Set, Symbols for ҩs an element ofҬ subset, intersection and union.
Set Notation

Roster Method, Set Builder Notation.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

These lessons are part of a series of lessons on sets.

In these lessons, we will learn the concept of a set, methods for defining sets, set notations, empty set, symbols for ‘is an element of’, subset, intersection and union.

The following table gives a summary of the symbols use in sets.

The individual objects in a set are called the

Some notations for sets are:

A = {1, 2, 3} = {integers greater than 0 and less than 4} = {x: x is an integer and 0 < x < 4}

We also have the empty set denoted by {} or Ø.

We can have infinite sets for example {1, 2, 3, ...}

We have a symbol showing membership.We relate a member and a set using the symbol ∈. If an object

∈ denotes “is an element of’ or “is a member of” or “belongs to”

∉ denotes “is not an element of” or “is not a member of” or “does not belong to”

** Example**:

If

A discussion of set notation: lists, descriptions, and set-builder notation.

Roster Method, Set Builder Notation.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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