Venn diagram help!

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xxbabezxx233

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Feb 10, 2006
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I have another question on venn diagram which i need to hand in for a test question if you can just describe how it would go in it would be so helpful

n(A)=19
n(B)= 13
n(A U B) =25
n(A')=11

How would this be put into a venn diagram it has has to do with subsets union and etc thanks.
 
Draw the Venn diagram with the two overlapping circles. Label "A" and "B" with the given values.

If A U B has twenty-five elements and |A| + |B| = 19 + 13 = 32, then how many elements do A and B share in common? Label the overlap with this value.

I don't know what "A'" ("A-prime") indicates, so I can't speak to that.

Eliz.
 
A' means not A, and can be used here to find the number outside A U B.
 
Unco said:
A' means not A, and can be used here to find the number outside A U B.
Click to expand...
Why not: just not in A?
Not in ('outside') AUB would be (AUB)'.

In this question \(\displaystyle n(A \cap B) = 7\) and if \(\displaystyle n(A') = 11\) then \(\displaystyle n\left[ {\left( {A \cup B} \right)'} \right] = 5\)
 
Buddy, you just used n'(A)=11 to find the number outside A U B.
 
Unco said:
Buddy, you just used n'(A)=11 to find the number outside A U B.
Click to expand...

No I did not. I used it to find the number not in AUB.
Sets do not have insides and outsides.
 
If I had a diagram to work with, I would go so far as to say "outside the two circles", which may be excruciatingly informal for you, but that's just me.
 
pka said:
Sets do not have insides and outsides.
Click to expand...
Perhaps not technically, but when drawn in Venn diagrams, that is, I believe, the usual interpretation.

Just FYI... :D

Eliz.
 
On mathematical language: I relate this story.
E. H. Moore, one of the giants of 20th century mathematics who taught at Chicago U, gave a lecture at rival Princeton. He began his talk by saying “Let a be a point and let b be a point.” The equally great Solomon Lefschetz shouted out “But why don’t you just say, ‘Let a and b be points’?” Without breaking a beat, Moore answered: “Because, a could be b”. Lefschetz got up and left the room.

In the mathematical genealogy I am a great-grandson of Moore.
 
Draw Staples two overlapping circles, marked A and B.
Put 7 in the overlap.
Put 12 in the rest of A.
Put 6 in the rest of B.
Put 5 outside of both.
 
does this answer the whole question? I don't need to put a circle for A'? Do i need to shade anything in?
 
ven25yu.gif
 
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