Mathematics-Monster.com
(#mm)

menu

Element Of

The Mathematical Symbol "Element Of (∈)"

homesitemapsymbolselement of

The "Element Of" Symbol (∈)

The ∈ symbol is a fundamental notation in set theory and represents the concept of "membership."

Visual Representation

The symbol appears as a stylized uppercase "E" (∈) and is used to indicate that an element belongs to a set.

Meaning and Usage

The primary meaning of the ∈ symbol is to indicate that a particular element is a member of a set. For instance, if the set \( A \) contains the element \( x \), then it is denoted as \( x ∈ A \).

Example

If \( A = \{1, 2, 3\} \), then \( 2 ∈ A \) since the number 2 is a member of the set \( A \). Conversely, if \( 4 \) is not in \( A \), it's written as \( 4 \notin A \), where \( \notin \) denotes "not an element of."

Representation in Other Contexts

In LaTeX, the command for the "element of" symbol is \in.

Application in Mathematics

The concept of set membership is foundational in various areas of mathematics, from basic arithmetic to advanced topics. The ∈ symbol appears frequently in mathematical proofs, logic, algebra, and many other domains to signify that a particular element belongs to a set.

Conclusion

The ∈ symbol is a basic yet crucial notation in mathematics. Understanding its significance is vital for anyone studying or working with mathematical concepts, especially those related to set theory.

Mathematical symbol 'Element Of'

Are You Good at Mathematical Symbols?

Do you know, or can you guess, the technical symbols? Well, let's see!
gold cup
Gold

gold cup
Silver

gold cup
Bronze

0
  • This test has questions.
  • A correct answer is worth 5 points.
  • You can get up to 5 bonus points for a speedy answer.
  • Some questions demand more than one answer. You must get every part right.
  • Beware! Wrong answers score 0 points.
  • 🏆 If you beat one of the top 3 scores, you will be invited to apply for the Hall of Fame.
Scoring System

Guru (+)
Hero (+)
Captain (+)
Sergeant (+)
Recruit (+)

Codes for the ∈ Symbol

The Symbol
Alt CodeAlt 8712
HTML Code∈
HTML Entity∈
CSS Code\2208
Hex Code∈
UnicodeU+2208

How To Insert the ∈ Symbol

(Method 1) Copy and paste the symbol.

The easiest way to get the ∈ symbol is to copy and paste it into your document.

Bear in mind that this is a UTF-8 encoded character. It must be encoded as UTF-8 at all stages (copying, replacing, editing, pasting), otherwise it will render as random characters or the dreaded �.

(Method 2) Use the "Alt Code."

If you have a keyboard with a numeric pad, you can use this method. Simply hold down the Alt key and type 8712. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)

(Method 3) Use the HTML Decimal Code (for webpages).

HTML TextOutput
<b>My symbol: &#8712;</b>My symbol: ∈

(Method 4) Use the HTML Entity Code (for webpages).

HTML TextOutput
<b>My symbol: &isin;</b>My symbol: ∈

(Method 5) Use the CSS Code (for webpages).

CSS and HTML TextOutput
<style>
span:after {
content: "\2208";}
</style>
<span>My symbol:</span>
My symbol: ∈

(Method 6) Use the HTML Hex Code (for webpages and HTML canvas).

HTML TextOutput
<b>My symbol: &#x2208;</b>My symbol: ∈
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x2208 to place the ∈ symbol on your canvas. For example:
JavaScript Text
const x = "0x"+"E9"
ctx.fillText(String.fromCodePoint(x), 5, 5);
Output

(Method 7) Use the Unicode (for various, e.g. Microsoft Office, JavaScript, Perl).

The Unicode for ∈ is U+2208. The important part is the hexadecimal number after the U+, which is used in various formats. For example, in Microsoft Office applications (e.g. Word, PowerPoint), do the following:
TypeOutput
2208
[Hold down Alt]
[Press x]

(The 2208 turns into ∈. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u2208. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u2208"
document.write("My symbol: " + str)
My symbol: ∈

You might also like...

Help Us Improve Mathematics Monster

  • Do you disagree with something on this page?
  • Did you spot a typo?
Please tell us using this form.

Find Us Quicker!

  • When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add #mm to your search term.

Share This Page

share icon

If you like Mathematics Monster (or this page in particular), please link to it or share it with others.

If you do, please tell us. It helps us a lot!

Create a QR Code

create QR code

Use our handy widget to create a QR code for this page...or any page.

next up:

Down Tack (⊤)

More about Mathematical Symbols

Mathematics is a universal language that is used to describe and understand the intricacies of the universe. At the heart of this language are symbols, concise representations that convey specific meanings and ideas.

Just as letters come together to form words in spoken languages, mathematical symbols combine to form expressions and equations, encapsulating intricate ideas in a compact form. The history of these symbols is as varied as their meanings; some have been in use for centuries while others have been introduced more recently to describe new discoveries and concepts. Whether you are a student, educator, researcher, or simply curious, this list of mathematical symbols will serve as a guide, shedding light on their meanings, origins, and applications.

From the simple plus and minus signs to the more esoteric and complex, each symbol has its unique story and significance.

More Symbols

Full List of Mathematical Symbols