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Can anyone tell me what the shaded part of a Venn diagram means? Could any number be put into a shaded area or only 0 because I saw stuff that said the shaded part is something called an empty set but I'm not sure what that is? My Venn diagram is A' n B and the B part is shaded. Could I put any value into the B spot? Sorry, I'm just a bit confused and my teacher isn't explaining stuff well. Any help is greatly appreciated. Thanks.

 Apr 14, 2020
 #1
avatar+30087 
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We would need to see your Venn diagram to make any sense of it.  In general, any part(s) of a Venn diagram could be shaded - the shading is just to distinguish it from some other region, or to draw your attention to a particular region.

 

Upload your Venn diagram.

 Apr 14, 2020
edited by Alan  Apr 14, 2020
 #2
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I had to pull one from google and draw on it cause my actual one is in a notebook, sorry for the crappy writing. It's just a Venn diagram of cat lovers and dog lovers and of course both. I'm just not sure what the shaded area means or what value should go into it. I have to make an example of a Venn diagram and I can pick any value so thats why I'm not sure if I'm picking the right value for the shaded part.

Guest Apr 14, 2020
 #3
avatar+30087 
+1

In your diagram, A represents dog lovers and B represents cat lovers.

 

A' means everything that is not in A. 

 

The inverted U means intersection.

 

Hence \(A'\cap B\) means everything that is both not in A  and is in B simultaneously.  That is indicated by the shaded region in your diagram.

 

As for whether the numbers are correct, that will depend on the data specified for your problem.  Your data suggests there are 8 people in total, 4 of whom love dogs but not cats, one who loves cats but not dogs and 3 who love both dogs and cats. 

Alan  Apr 14, 2020
edited by Alan  Apr 14, 2020
 #4
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Okay, now I understand! Thank you so much for helping. My teacher is just a bit stressed right now with teaching from home so not all the information is given. Thank you for explaining the information. This is going to help me understand the rest of my homework. I greatly appreciate your help! Have a good day/night. Stay safe!

Guest Apr 14, 2020

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