Question 1059707: I need help in constructing a venn diagram for the following and placing the elements in their correct regions.
Universe= 1,3,5,7,9
A= 1,3,5,9
B=1,9
C=5
I am unsure. I created a diagram with three circles , nothing sharing in the B and C. I am lost...thank you for your help in advance
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! it looks like what you have is:
1,3,5,7,9 belong to the universe.
1,3,5,9 belong to A.
1,9 belong to B.
5 belongs to C.
all of the elements in A are part of the universe, except for 7.
all of the elements in B are part of A, except for 3,5.
all of the elements in C are part of A except for 1,3,9.
what this says is:
A is a proper subset of the universe.
B is a proper subset of A.
C is a proper subset of A.
there are no elements in B that are common to C.
if I had to draw a venn diagram of this, i would probably draw the following:
you can see that B and C have no common intersections between them.
you can see that B and C are wholly contained in A.
you can see that A is wholly contained in the universe.
you can see that 7 is not part of any of the subsets of A, B, and C.
if i had to draw a 3 ring venn diagram, i would probably do the following:
you can see that A is wholly contained in the universe.
therefore A is a proper subset of the universe.
you can see that 7 is in the universe, but not part A, B, or C.
you can see that B and C have no elements that are not common to A.
you can see that 1 and 9 are part of both A and B.
you can see that 5 is part of A and B.
you can see that there are no elements that are common to A, B, and C.
I think the first diagram probably depicts the situation better than the second diagram.
it visually represents what the situation is all about.
the universe contains 1,3,5,7,9
A contains 1,3,5,9
B contains 1,9
C contains 5
A is a proper subset of the universe.
B is a proper subset of A.
C is a proper subset of A.
here's a reference that might be helpful.
http://www.mathsisfun.com/sets/
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