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HELP - Venn Diagrams

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Original post by mos182
Finally I'm getting something right :biggrin:

B is a subset of A? :s-smilie:


So, A is a subset of B, and B is a subset of A. What does this tell you about A and B?
Reply 21
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mos182
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Original post by ghostwalker
So, A is a subset of B, and B is a subset of A. What does this tell you about A and B?


They have the same values? So they're basically the same?
Original post by mos182
They have the same values? So they're basically the same?


They are exactly the same.

So if A and B are the same set then Z is the empty set.

So, just draw one circle and label it A, and B.


Showing A is a subset of B, and B is a subset of A, is a standard technique in set theory for showing two sets are equal, they are in fact one and the same.
Reply 23
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mos182
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Original post by ghostwalker
They are exactly the same.

So if A and B are the same set then Z is the empty set.

So, just draw one circle and label it A, and B.


Showing A is a subset of B, and B is a subset of A, is a standard technique in set theory for showing two sets are equal, they are in fact one and the same.
What about Z though?

Still a little bit confused about this, but you've been a great help helping me out.

Have you got any other examples or links to examples on this?

Would be handy having them for reference in the future.
Original post by mos182
What about Z though?


You can't display Z, as it's the empty set - so there's nothing you can shade in. What you can do is show A and B, such that Z is the empty set.


Have you got any other examples or links to examples on this?

Would be handy having them for reference in the future.


Not really. You'll come across them in any basic introduction to sets.
Reply 25
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Original post by ghostwalker
You can't display Z, as it's the empty set - so there's nothing you can shade in. What you can do is show A and B, such that Z is the empty set.



Not really. You'll come across them in any basic introduction to sets.


Yeah we've had an introduction to sets however there's not really any examples of Venn Diagrams or questions like the one I posted. Our recommended textbook doesn't have much on Venn Diagrams either.

Thanks for your help. Seriously don't think I could have done this without your help.
Original post by mos182

Thanks for your help.


You're welcome.

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