The Mathematical Symbol "Greater-Than Equal To or Less-Than (⋛)"

The ⋛ Symbol in Mathematics: Greater-Than Equal To or Less-Than

Mathematics is teeming with symbols that compactly convey intricate relationships between numbers, variables, and expressions. One intriguing symbol is ⋛, which represents a unique combined relation. This article will explore its meaning and share a couple of illustrative examples.

Usage

The ⋛ symbol effectively combines two relations: "greater-than or equal to" and "less-than". While uncommon compared to the standard relational symbols, it sometimes appears in literature to represent a specific kind of inequality relation.

Examples

  • Example 1: Specific Condition:
    Consider a function \( f(x) \). If a statement like \( f(x) ⋛ a \) is presented, it suggests that either \( f(x) \) is less than \( a \) or \( f(x) \) is greater than or equal to \( a \).
  • Example 2: System of Inequalities:
    In certain optimization problems or systems, this symbol can appear to encapsulate two potential conditions, simplifying the notation. If \( g(y) ⋛ b \), it implies that \( g(y) \) should either be less than \( b \) or satisfy a condition where it's greater than or equal to \( b \).

In summary, while the ⋛ symbol is less conventional in mainstream mathematical notation, it offers a compact way to express a combined relational condition. Recognizing its meaning aids in deciphering the specific nuances it brings to mathematical expressions.

Mathematical symbol 'Greater-Than Equal To or Less-Than'

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Codes for the ⋛ Symbol

The Symbol
Alt CodeAlt 8923
HTML Code⋛
HTML Entity⋛
CSS Code\22DB
Hex Code⋛
UnicodeU+22DB

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 8923. 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: &#8923;</b>My symbol: ⋛

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

HTML TextOutput
<b>My symbol: &gel;</b>My symbol: ⋛

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

CSS and HTML TextOutput
<style>
span:after {
content: "\22DB";}
</style>
<span>My symbol:</span>
My symbol: ⋛

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

HTML TextOutput
<b>My symbol: &#x22DB;</b>My symbol: ⋛
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22DB 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+22DB. 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
22DB
[Hold down Alt]
[Press x]

(The 22DB turns into ⋛. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u22DB. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u22DB"
document.write("My symbol: " + str)
My symbol: ⋛