The Mathematical Symbol "Superset of or Equal To (⊇)"
The "Superset of or Equal To" Symbol (⊇)
The ⊇ symbol represents the mathematical relation where one set is either a superset of another set, or both sets are equal. Essentially, it indicates that the first set contains all the elements of the second set or has the same elements as the second set.
Visual Representation
The symbol itself resembles the "greater than" sign (`>`) combined with an underscore, which signifies the idea of "greater than or equal to" in the context of sets rather than numbers.
Common Uses
The "Superset of or Equal To" relation has various applications in set theory and mathematics:
- Set Theory: In set theory, if set \( A \) is a superset of or is equal to set \( B \), it can be represented as \( A ⊇ B \). This means all elements of set \( B \) are also elements of set \( A \).
- Examples:
- If set \( A = \{1, 2, 3, 4\} \) and set \( B = \{2, 3\} \), then \( A ⊇ B \) since all elements of \( B \) are contained in \( A \).
- If set \( A = \{1, 2, 3\} \) and set \( B = \{1, 2, 3\} \), then \( A ⊇ B \) because \( A \) and \( B \) are equal.
Representation in Other Contexts
In LaTeX, which is commonly used for typesetting mathematical and scientific documents, the "Superset of or Equal To" symbol can be represented with the command `\supseteq` when in math mode.
Conclusion
The ⊇ symbol is instrumental in set theory and other areas of mathematics for conveying the relationship where one set contains all the elements of another set, or both sets are equal. This relation is crucial for understanding hierarchies and inclusion within sets.
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Codes for the ⊇ Symbol
| The Symbol | ⊇ | |
| Alt Code | Alt 8839 | |
| HTML Code | ⊇ | |
| HTML Entity | ⊇ | |
| CSS Code | \2287 | |
| Hex Code | ⊇ | |
| Unicode | U+2287 |
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 8839. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)(Method 3) Use the HTML Decimal Code (for webpages).
| HTML Text | Output |
|---|---|
| <b>My symbol: ⊇</b> | My symbol: ⊇ |
(Method 4) Use the HTML Entity Code (for webpages).
| HTML Text | Output |
|---|---|
| <b>My symbol: ⊇</b> | My symbol: ⊇ |
(Method 5) Use the CSS Code (for webpages).
| CSS and HTML Text | Output |
|---|---|
|
<style> span:after { content: "\2287";} </style> <span>My symbol:</span> | My symbol: ⊇ |
(Method 6) Use the HTML Hex Code (for webpages and HTML canvas).
| HTML Text | Output |
|---|---|
| <b>My symbol: ⊇</b> | My symbol: ⊇ |
| 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+2287. 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:| Type | Output |
|---|---|
| 2287 [Hold down Alt] [Press x] | ⊇ (The 2287 turns into ⊇. Note that you can omit any leading zeros.) |
| JavaScript Text | Output |
|---|---|
| let str = "\u2287" document.write("My symbol: " + str) | My symbol: ⊇ |