Superset of

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Superset of
The Superset of symbol, denoted as ⊃, is used in set theory to indicate that one set is a superset of another but not equal to it.
Superset of or Equal to
The Superset of or Equal to symbol, denoted as ⊇, indicates that one set is either a superset of another or equal to it.

What is the "Superset of" Symbol?

The Superset of symbol, represented by ⊃, signifies that one set contains another set 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 B ⊃ A, indicating that B is a superset of A.

What is the "Superset of or Equal to" Symbol?

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

How to Differentiate Between the Superset Symbols

It's essential to recognize the distinction between the two symbols to prevent confusion. Remember that ⊃ means a strict superset (not equal), while ⊇ means superset or equal. The latter symbol allows for the possibility that the two sets being compared might be identical.

Common Misconceptions Regarding Superset Symbols

It's common for individuals to confuse the superset and subset symbols, especially given their visual similarity. Always remember that the direction of the symbol points to the "smaller" set: ⊃ denotes the larger set enveloping the smaller one, while ⊂ indicates the smaller set being encompassed by the larger.

Typing the Superset Symbols

  • Windows: For ⊃, use Alt+8835; for ⊇, use Alt+8839.
  • Mac: Access both symbols via the Character Viewer.
  • Linux: For ⊃, use Ctrl+Shift+u then 2283; for ⊇, follow with 2287.
  • HTML: For ⊃, use ⊃ or ⊃; for ⊇, use ⊇ or ⊇.
  • LaTeX: For ⊃, type \supset; for ⊇, type \supseteq.

Symbols' Images

Superset ofSuperset of or Equal to