What is the difference between

and

Thank you very much

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- May 16th 2009, 05:58 AMAnimalxxvBasic Set theory...
What is the difference between

and

Thank you very much - May 16th 2009, 06:38 AMjosipive
A,B sets

A B ---> this means that all elements from set A are also elements of set B where B is bigger set ( it has more elements (important) )

A B ---> this means that all elements from set A are also elements of set B where A can be equal to B

example: A = { 1, 2, 3 }

B = { 1, 2, 3 }

then this is true: A B , but this isnt A B

but if B is = { 1, 2, 3, 4 }

A B is true and this is also true A B - May 16th 2009, 06:41 AMPlato
You may not be pleased with this answer.

There is no precise difference; it generally depends upon the author and the textbook.

In general, stands for a proper subset and in that case this symbol is also used.

That is, it is a subset but not the entire superset.

For example, all of the following are correct usage:

To be clear as to a set being a proper subset it is best to use this .

That makes it clear that is not . - May 16th 2009, 06:43 AMAnimalxxv
Thanks very much :]

I'll thank you both

:]