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August 26th, 2017, 09:53 AM   #1
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Question 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.
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August 26th, 2017, 10:09 AM   #2
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$\displaystyle ((A\cup B)\cap C) \cup D$
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August 26th, 2017, 10:34 AM   #3
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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.
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August 26th, 2017, 10:39 AM   #4
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Originally Posted by DecoratorFawn82 View Post
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.
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 $\displaystyle C$
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August 26th, 2017, 12:39 PM   #5
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Was any guide given regarding how much is annotated?
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August 28th, 2017, 12:25 PM   #6
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No, it was not.
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