SOLUTION: Suppose you have a Venn diagram showing three sets. Call the sets A, B, and C. How many regions of the Venn diagram correspond to elements that are part of set A? Why so many?

Question 177322This question is from textbook
: Suppose you have a Venn diagram showing three sets. Call the sets A, B, and C. How many regions of the Venn diagram correspond to elements that are part of set A? Why so many? This question is from textbook

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
It depends on how many of the other two sets overlap the region indicating Set A. If A is all by itself, then the answer is 1. If A overlaps just one of B or C, then the answer is 2. And so on... There are a couple of different situations that could give you an answer of 3 regions, and one situation where you could get an answer of 4 regions -- which I suspect is what you were trying to describe.

If it is 4 regions:
1 represents elements that are a member of Set A only.

1 represents elements that are a member of both A and B but not C.

1 represents elements that are a member of both A and C but not B.

and the last 1 represents elements that are a member of all three sets.
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