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Subset of with Not Equal To

The Mathematical Symbol "Subset of with Not Equal To (⊊)"

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The "Subset of with Not Equal To" Symbol (⊊)

The ⊊ symbol represents the mathematical concept that one set is a subset of another, but not equal to it. This means that all the elements of the first set are contained within the second set, but the two sets are not identical.

Visual Representation

The ⊊ symbol visually appears as the "subset of" symbol (⊂) combined with a strikethrough or slash (similar to ≠ for "not equal to"). The slash indicates the "not equal to" part of the definition, suggesting that while the first set is contained within the second, they are not the same set.

Usage

In set theory, if we have two sets, A and B, and A is a subset of B but not equal to B, we can represent this relationship as \(A \, ⊊ \, B\).

This implies that every element of A is also an element of B, but there exists at least one element in B which is not in A.

Typing ⊊

To represent the "Subset of with Not Equal To" symbol in documents or platforms that support HTML entities, you can use the ⊊ entity. However, the appearance of the symbol may vary slightly based on the font and platform being used. In environments outside of HTML, specialized mathematical software or libraries might provide ways to depict the symbol accurately.

Related Symbols

Here are some related symbols in the context of set theory and related mathematical disciplines:

  • ⊂ (Subset of)
  • ⊆ (Subset of or Equal To)
  • ⊋ (Superset of with Not Equal To)
  • ∉ (Not an Element of)

Conclusion

Mathematical symbols such as &

Mathematical symbol 'Subset of with Not Equal To'

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Codes for the ⊊ Symbol

The Symbol
Alt CodeAlt 8842
HTML Code⊊
HTML Entity⊊
CSS Code\228A
Hex Code⊊
UnicodeU+228A

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 8842. 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: &#8842;</b>My symbol: ⊊

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

HTML TextOutput
<b>My symbol: &subne;</b>My symbol: ⊊

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

CSS and HTML TextOutput
<style>
span:after {
content: "\228A";}
</style>
<span>My symbol:</span>
My symbol: ⊊

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

HTML TextOutput
<b>My symbol: &#x228A;</b>My symbol: ⊊
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x228A 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+228A. 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
228A
[Hold down Alt]
[Press x]

(The 228A turns into ⊊. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u228A. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u228A"
document.write("My symbol: " + str)
My symbol: ⊊

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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