I am asked to draw a venn diagram of a few sets. But next to them there is a small C and I have no clue what that small C means.
To see it in context look at question 6 here. Thanks so much for any help!!!
CS2130 Assignment 1
Few questions...6. Make a Venn diagram illustrating the case
Ac∩Bc∩C = Ac∩B∩Cc = ∅, B ≠ C, and B ∩ C ≠ ∅.
This is supposed to be one single venn diagram.
This is asking me to show that...
A compliment intersect B compliment intersect C = A compliment intersect B intersect C compliment=null set?
So is also says that B does not intersect C. So if B does not intersect C and I show Ac∩Bc∩C I end up with the area of C shading in that does not intersect A, which does not equal the null set.
Ac∩B∩Cc for this I get the area of B shaded in that does not intersect A.
Here is how I got it those two.
First this means B ∩ C ≠ ∅ that B and C do not intersect.
So my venn is circle B intersecting circle A which intersects circle C.
So A compliment is everything outside of A.
B compliment is everything outside of B
Ac intersect Bc is everything outside of A and B
and Ac intersect Bc intersect C is everywhere that is both outside of A and B and in C which ends up being the area of C not intersect by A. So I am confused at how this can = the null set.