Want to protect your cyber security and still get fast solutions? Ask a secure question today.Go Premium

x
  • Status: Solved
  • Priority: Medium
  • Security: Public
  • Views: 829
  • Last Modified:

Venn-diagram

How would a Venn diagram be for this?

(A - B)c n(B - C)c n(C - A)c


I dont want you to solve it but to explain how to solve it step by step. So i dont just need an answer
0
Mickeys
Asked:
Mickeys
  • 19
  • 18
  • 8
2 Solutions
 
d-glitchCommented:
What do the "n" and "c" mean?

Draw three circles so you have all the possible overlaps:

  A  B  C  AB  AC  BC and ABC

and start carving it up.
0
 
d-glitchCommented:
There is a 3-circle Venn Diagram Template here:

     http://www.conceptdraw.com/en/products/cd5/ap_venn_diagram.php
0
 
MickeysAuthor Commented:
(A - B)c u (B - C)c  u(C - A)c

the u should be turned upside down.
0
What does it mean to be "Always On"?

Is your cloud always on? With an Always On cloud you won't have to worry about downtime for maintenance or software application code updates, ensuring that your bottom line isn't affected.

 
MickeysAuthor Commented:
Like this. But what more?
Namnl-s.jpg
0
 
TommySzalapskiCommented:
Shade (A-B)c, (B-C)c and (C-A)c and see what the intersection is. Then shade just the intersection for the answer.

What does the little c mean? Is it the not operator?
0
 
MickeysAuthor Commented:
so I did your first step. But I dont understand the next one. that is where I get stuck. :-)
Namnl-s2.jpg
0
 
d-glitchCommented:
I don't think that is correct.

(A-B) should include some of C.

And what does the the little "c" mean?
0
 
MickeysAuthor Commented:
so like this?
Namnl-s3.jpg
0
 
TommySzalapskiCommented:
Make one venn-diagram for each one and see which regions are shaded in all of them.

What does the little c mean?
0
 
MickeysAuthor Commented:
???? You mean split them up?

I have no idea what the little c is
0
 
TommySzalapskiCommented:
Well you need to find the intersection, so you need to find each of the three separately and see which areas all are in.
0
 
MickeysAuthor Commented:
well I dont need to split them up for that. I can see it is the big part in all of them. right?
0
 
TommySzalapskiCommented:
The little c means compliment which is the same as 'not'
0
 
TommySzalapskiCommented:
Not just the big part. But you're close.
0
 
MickeysAuthor Commented:
I am so stupied with math. :-(

well i can see the big part......and then the outside of course
0
 
TommySzalapskiCommented:
Look at the venn-diagram for (A-B)c. What areas will be in all three pieces?
venn.png
0
 
MickeysAuthor Commented:
well the half moon. But if I see at my diagram I can get the orange and green a half moon but the last color I cant get that to a half moon. Hmmmmm
0
 
TommySzalapskiCommented:
The half moons are unshaded in (A-B)c
Your green half moon is wrong. Yours is (B-A) it should be (B-C) but you need (A-B)c and (B-C)c. c is complement so you should shade everything EXCEPT the half moon.
Just look at the figure on the right side in mine. Red is the (A-B)c the white is the stuff that's already out.
0
 
MickeysAuthor Commented:
sorry to stupied to figure this one out?

So the one picuter I added last is wrong? Is that what you mean?
0
 
TommySzalapskiCommented:
Yes. It has a few problems. Look at the figures I posted. The left one shows (A-B) which is just a step to getting the one on the right side which is (A-B)c represented by the red color.
So what would (B-C)c and (C-A)c look like? Then which areas are common to all three?
0
 
MickeysAuthor Commented:
well they all will be like your picutre to your right?
0
 
TommySzalapskiCommented:
Yes except the half moons will be somewhere else of course.
Do it in three steps.
For (B-C)c
Find B, then remove what is also in C then invert the whole thing. You should get the half moon in the right spot.
0
 
MickeysAuthor Commented:
0
 
TommySzalapskiCommented:
Okay. Is the white supposed to be the answer or the yellow? It's not right at all.
Show me all three
(A-B)c
(B-C)c
(C-A)c

so I can help you see what you're doing wrong.
0
 
d-glitchCommented:
Note that this is a very symmetric problem.

Go back and look at TommySzalap's picture for (A-B)c.  
It includes everything but the crescent moon shaped section that is (A-B).

What does (B-C)c look like?
What does (C-A)c look like?

What does the intersection of all three look like?

It is going to be symmetric.
0
 
MickeysAuthor Commented:
new try
Namnl-s5.png
0
 
d-glitchCommented:
(A-B)c is correct.  The others are missing the little triangular shaped piece in the center.
0
 
TommySzalapskiCommented:
Yeah, the middle should be yellow in all of them.
0
 
TommySzalapskiCommented:
Since the middle is in C it WON'T be in (B-C) so it WILL be in (B-C)c
0
 
MickeysAuthor Commented:
ok. so where they all meet should be filled. But what is the answer then? Is the answer all three pictures??????
0
 
TommySzalapskiCommented:
What sections are yellow in all three pictures?
0
 
MickeysAuthor Commented:
well if I add that yellow to the things I missed. It will be that part plus the section below that. so two sections are yellowed on all parts
0
 
TommySzalapskiCommented:
Oh. Sorry. Your (B-C)c is still wrong. You did (B-A)c again.
So the parts yellow in all are the little center triangle and the outer area (as you mentioned before)

This makes sense if you work it out logically too. (If this confuses you ignore it)
A-B = A n Bc     Subtraction rule
(A-B)c = (A n Bc)c = Ac u B     De'Morgan's Law

So the whole thing is (Ac u B) n (Bc u C) n (Cc u A)
=>  (Ac n Bc n Cc) u (A n B n C)
0
 
MickeysAuthor Commented:
So here is the answer. You should really be gratful that I can help you people solve this problem
;-)
Namnl-s5.png
0
 
TommySzalapskiCommented:
Ach, and you did (C-B)c instead of (C-A)c
For (B-C) shade B then unshade C. Then invert the whole thing to get (B-C)c
0
 
d-glitchCommented:
Not quite done....
0
 
d-glitchCommented:
What about the corners of the square...
0
 
MickeysAuthor Commented:
I give up. I dont understand shit. What should really the solution look like?
0
 
TommySzalapskiCommented:
You missed the outer part.
Study this and figure out why it is the correct solution.
Namnl-s5-corrected.png
0
 
d-glitchCommented:
Bingo.  You have mastered a skill which has no future economic benefit.
0
 
MickeysAuthor Commented:
what about this?
Namnl-s5.png
0
 
MickeysAuthor Commented:
ah....I almost got it. i just saw your correct version.
0
 
TommySzalapskiCommented:
Yes. Yours was right except you just didn't see the outside part.
0
 
TommySzalapskiCommented:
Excellent.
0
 
MickeysAuthor Commented:
haha. It was really  hard to solve. I dont understand how you can have it so easy to understand this. I got one more in here....but I think I will save my brain for that until tomorrow. Need to study this one first. Thx guys
0

Featured Post

Concerto Cloud for Software Providers & ISVs

Can Concerto Cloud Services help you focus on evolving your application offerings, while delivering the best cloud experience to your customers? From DevOps to revenue models and customer support, the answer is yes!

Learn how Concerto can help you.

  • 19
  • 18
  • 8
Tackle projects and never again get stuck behind a technical roadblock.
Join Now