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August 26th, 2017, 08:53 AM  #1 
Member Joined: Sep 2014 From: Sweden Posts: 83 Thanks: 0  Mark this in a Venn diagram
Hi, I'm new to this with Venn diagrams and set theory so I'm wondering how am I supposed to draw a Venn diagram and mark the areas? I get that A union B is two circles that I can mark and that C is an intersection that I can mark, but what about D? Does this mean that D is a circle around $\displaystyle \displaystyle ((A \cup B) \cap C)$? But this doesn't seem correct since I have to mark the whole area of D which includes A, B and C. $\displaystyle \displaystyle ((A \cup B) \cap C) \cup D $ Thx for replies and suggestions. 
August 26th, 2017, 09:09 AM  #2 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 878 Thanks: 60 Math Focus: सामान्य गणित 
$\displaystyle ((A\cup B)\cap C) \cup D$

August 26th, 2017, 09:34 AM  #3 
Member Joined: Sep 2014 From: Sweden Posts: 83 Thanks: 0 
But why is A and B not marked since $\displaystyle \displaystyle A \cup B$? Is that because of the whole operation with the intersection C at the end? D makes sense to me since it is a union of A and B and also union of intersection C.

August 26th, 2017, 09:39 AM  #4 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 878 Thanks: 60 Math Focus: सामान्य गणित  It is because $\displaystyle (A\cup B)$ means both A and B. While $\displaystyle (A\cup B)\cap C$ mean common between $\displaystyle (A\cup B)$ and $\displaystyle C$

August 26th, 2017, 11:39 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 19,299 Thanks: 1688 
Was any guide given regarding how much is annotated?

August 28th, 2017, 11:25 AM  #6 
Member Joined: Sep 2014 From: Sweden Posts: 83 Thanks: 0 
No, it was not.


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