Examples include letters, number, fruits.A collection of objects.

Use braces {} to enclose a set

Use 3 dots for infinity

{1, 2, 3, ...}

Use capital letters for sets

S = {1, 2, 3}

Coins: {penny, nickel, dime}

Counting Numbers {1, 2, 3, ...}

Positive Even Numbers {2, 4, 6, ...}

Elements use the element symbol ∈

In the set S = {1, 2, 3}

1 ∈ S, 2 ∈ S, 3 ∈ S

Given a set S, cardinality = |S|

With S = {1, 2, 3}, |S| = 3

since S has 3 elements

The empty set ∅ has no elements

Write this as S' or S

Given U = {1, 2, 3, 4, 5} and S = {1, 2, 3}

S

{1, 2, 3} for example has 3 elements

They go on forever using ...symbol

{1, 2, 3, ...}

{1, 2, 3} = {3, 2, 1}

Free Sets Calculator - This lesson walks you through what a set is, how to write a set, elements of a set, types of sets, cardinality of a set, complement of a set.

Set is denoted with braces and commas separating elements {1, 2, 3}

Elements are members of items in a set S = {1, 2, 3}, 1 ∈ S

S = {1, 2, 3}, the cardinality |S| = 3 since S has 3 elements

The empty set ∅ contains no elements

Given a Universal Set U = {1, 2, 3, 4, 5} and S = {1, 2, 3} S^{C} = {4, 5} since they are everything in the Universal set not in S

For more math formulas, check out our Formula Dossier

Elements are members of items in a set S = {1, 2, 3}, 1 ∈ S

S = {1, 2, 3}, the cardinality |S| = 3 since S has 3 elements

The empty set ∅ contains no elements

Given a Universal Set U = {1, 2, 3, 4, 5} and S = {1, 2, 3} S

For more math formulas, check out our Formula Dossier

- cardinality
- a measure of the number of elements of the set
- coefficient
- a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
- difference
- the result of one of the important mathematical operations, which is obtained by subtracting two numbers
- element
- an element (or member) of a set is any one of the distinct objects that belong to that set. In chemistry, any substance that cannot be decomposed into simpler substances by ordinary chemical processes.
- index
- an indicator, sign, or measure of something
- intersection
- the set containing all elements of A that also belong to B or equivalently, all elements of B that also belong to A.

A ∩ B - product
- The answer when two or more values are multiplied together
- set
- a collection of different things; a set contains elements or members, which can be mathematical objects of any kind
- sets
- subset
- A is a subset of B if all elements of the set A are elements of the set B
- union
- Combine the elements of two or more sets

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