The Mathematical Symbol "Between (≬)"

The ≬ Symbol in Mathematics: Denoting Intervals

The ≬ symbol in mathematics represents "Between". It's a way to concisely express that a value or variable lies within a specific range or interval. Particularly in the realms of real analysis, number theory, and inequalities, this symbol finds its use. In this article, we will outline the primary contexts of its application, with two illustrative examples for each.

1. Real Analysis and Inequalities

In real analysis and when dealing with inequalities, ≬ is a useful shorthand to describe that a number falls within two other numbers.

  • Example 1: If a student scores 70 on a test and the passing range is from 60 to 80, we can express this as: \( 60 < 70 ≬ 80 \), indicating the student's score is between 60 and 80.
  • Example 2: When describing the range of a function, such as \( f(x) = x^2 \) for \( x \) values between -1 and 1, we can note: \( -1 < x^2 ≬ 1 \).

2. Number Theory

In number theory, the ≬ symbol can be used to indicate that a number lies between two other numbers with specific properties.

  • Example 1: If considering prime numbers around 10, one could state: \( 7 < 9 ≬ 11 \), showing that 9 is between the primes 7 and 11, even though 9 itself is not prime.
  • Example 2: When examining the numbers between two consecutive cubes, such as \( 8 \) and \( 27 \), one might express: \( 8 < 15 ≬ 27 \), indicating 15 is a number between the cubes of 2 and 3.

To conclude, the ≬ symbol offers a succinct means of expressing intervals and ranges in mathematics. Its use can clarify the relative position of numbers and variables, allowing for a more straightforward understanding of the topic at hand.

Mathematical symbol 'Between'

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Codes for the ≬ Symbol

The Symbol≬
Alt CodeAlt 8812
HTML Code&#8812;
HTML Entity&between;
CSS Code\226C
Hex Code&#x226C;
UnicodeU+226C

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 8812. 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: &#8812;</b>My symbol: ≬

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

HTML TextOutput
<b>My symbol: &between;</b>My symbol: ≬

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

CSS and HTML TextOutput
<style>
span:after {
content: "\226C";}
</style>
<span>My symbol:</span> 		My symbol: ≬

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

HTML TextOutput
<b>My symbol: &#x226C;</b>My symbol: ≬
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x226C 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+226C. 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
226C
[Hold down Alt]
[Press x]		≬
(The 226C turns into ≬. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u226C. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u226C"
document.write("My symbol: " + str)		My symbol: ≬