# Subset of

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HTML Meaning
`&sub;`
`&#8834;`
`U+2282`
Subset of
The Subset of symbol, denoted as ⊂, is used in set theory to indicate that one set is a subset of another but not equal to it.
`&sube;`
`&#8838;`
`U+2286`
Subset of or Equal to
The Subset of or Equal to symbol, denoted as ⊆, indicates that one set is either a subset of another or equal to it.
`&nsub;`
`&#8836;`
`U+2284`
Not Subset of
The Not Subset of symbol, denoted as ⊄, indicates that one set is not a subset of another, showing non-inclusion.
`&#8840;`
`U+2288`
Not Subset of or Equal to
The Not Subset of or Equal to symbol, denoted as ⊈, signifies that one set is neither a subset of another nor equal to it.

### What is the "Subset of" Symbol?

The Subset of symbol, represented by ⊂, signifies that one set is contained within another but is not identical to it. For instance, if we have sets A = {1, 2, 3} and B = {1, 2, 3, 4, 5}, it can be expressed as A ⊂ B, indicating that A is a subset of B.

### What is the "Subset of or Equal" to Symbol?

The Subset of or Equal to symbol, represented by ⊆, indicates that one set is either contained within another or is identical to it. For the same sets A and B, A ⊆ B is also correct because A is a subset of B. However, if A = {1, 2, 3} and B = {1, 2, 3}, A ⊆ B would be the appropriate notation as the two sets are equal.

### How to Differentiate Between the Subset Symbols

It's crucial to understand the difference between the two symbols to avoid confusion. Remember that ⊂ means strict subset (not equal), while ⊆ means subset or equal. The latter symbol allows for the possibility that the two sets being compared might be identical.

### Applications and Unique Uses of the Subset Symbols

The subset symbols (⊂ and ⊆) are fundamental in various mathematical and computational contexts:

• Set Theory: Used to express relationships between sets.
• Mathematics: Appears across different fields to depict set relationships.
• Computer Science: Essential in algorithms and data structures for expressing set relationships and operations.

### Typing the Subset Symbols

• Windows: For ⊂, use Alt+`8834`; for ⊆, use Alt+`8838`.
• Mac: Access both symbols via the Character Viewer.
• Linux: For ⊂, use Ctrl+Shift+u then `2282`; for ⊆, follow with `2286`.
• HTML: For ⊂, use `&subset;` or `&#8834;`; for ⊆, use `&subseteq;` or `&#8838;`.
• LaTeX: For ⊂, type `\subset`; for ⊆, type `\subseteq`.