Subset Of

The Mathematical Symbol "Subset Of (⊂)"

The "Subset Of" Symbol (⊂)

The ⊂ symbol, commonly known as the "Subset Of", is a fundamental mathematical notation used in set theory to indicate that one set is a subset of another. In other words, every element of the first set is also an element of the second set.

Understanding the Subset Concept

The concept of a subset is foundational in set theory and is used extensively in various branches of mathematics. If set \( A \) is a subset of set \( B \), then all elements of \( A \) are also in \( B \), though \( B \) may have additional elements that \( A \) does not.

Usage in Mathematics

The ⊂ notation is common in mathematics:

• Set Theory: To describe the relationship between two sets.
• Number Theory: When discussing properties of number sets.
• Geometry: When defining properties of point sets within a given space.

Examples

Given two sets \( A = \{1, 2, 3\} \) and \( B = \{1, 2, 3, 4, 5\} \), since all elements of \( A \) are in \( B \), we can say that \( A \) is a subset of \( B \), represented as \( A ⊂ B \).

Notation

The ⊂ symbol is placed between two sets to indicate the subset relationship. For instance, \( A ⊂ B \) means that \( A \) is a subset of \( B \). Do note that a set is always a subset of itself, which means \( A ⊂ A \) is always true.

Conclusion

The ⊂ symbol provides a concise way to express the subset relationship between two sets. Understanding this basic concept is crucial for delving deeper into set theory and its applications across various mathematical disciplines.

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Do you know, or can you guess, the technical symbols? Well, let's see! Show Instructions

Codes for the ⊂ Symbol

The Symbol	⊂	copy
Alt Code	Alt 8834	copy
HTML Code	⊂	copy
HTML Entity	⊂	copy
CSS Code	\2282	copy
Hex Code	⊂	copy
Unicode	U+2282	copy

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 8834. 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: &#8834;</b>	My symbol: ⊂

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

HTML Text	Output
<b>My symbol: &sub;</b>	My symbol: ⊂

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

CSS and HTML Text	Output
<style> span:after { content: "\2282";} </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: &#x2282;</b>	My symbol: ⊂

On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x2282 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+2282. 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
2282 [Hold down Alt] [Press x]	⊂ (The 2282 turns into ⊂. Note that you can omit any leading zeros.)

In JavaScript, the syntax is \uXXXX. So, our example would be \u2282. (Note that the format is 4 hexadecimal characters.)

JavaScript Text	Output
let str = "\u2282" document.write("My symbol: " + str)	My symbol: ⊂

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