Understanding ⊂ & ⊆ for the Puzzled

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SUMMARY

The symbols ⊂ and ⊆ are used in set theory to denote subset relationships. Specifically, A ⊆ B indicates that all elements of set A are contained within set B, while A ⊂ B typically implies that A is a subset of B and that A is not equal to B. The interpretation of these symbols can vary by author, so it is essential to consult the specific conventions used in your reference material.

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Bashyboy
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What is the difference between using ⊂ and ⊆? My book was not particularly lucid on this topic.
 
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Bashyboy said:
What is the difference between using ⊂ and ⊆? My book was not particularly lucid on this topic.

Depends on the author. Usually, the two notations mean the same thing, that is: [itex]A\subset B[/itex] or [itex]A\subseteq B[/itex] means that all elements in A are also in B.

Other authors (but a minority!) use [itex]A\subset B[/itex] to mean that A is a subset of B but A is not equal to B.

You should check your book to see which convention he uses.
 

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