1. ## Union Complement question

I have $\displaystyle (A intersect B)'$
I want an equivalent statement shown using Venn diagrams. I am lost. I know I need a Venn diagram showing A and B minus the intersection plus all of the outside. A' intersect B' gives all of outside. So how do I get outside and A and B minus the intersection?

2. (A n B)' = A' u B' could be one way of looking at this problem. Basically you shade everything except A n B. So all of A except the part that intersects with B, all of B except the part that intersects with A, and everything outside of both A and B.

3. Originally Posted by icemanfan
(A n B)' = A' u B' could be one way of looking at this problem. Basically you shade everything except A n B. So all of A except the part that intersects with B, all of B except the part that intersects with A, and everything outside of both A and B.
Yeah, that's what I got for ( A intersect B)'. my problem is A' U B'. So, that would give anything's that's not A and B. So, that would give verything outside of A and B, right? But I need something that also includes A and B minus the intersection.

4. I was trying to say that (A n B)' is the same as A' u B', but you still seem uncertain. Remember that A' includes some of B and B' includes some of A.

5. Oh, ok I see now. So I could do a venn diagram of A', a Venn diagram of B' and then combine them,.

6. Originally Posted by kathrynmath
Oh, ok I see now. So I could do a venn diagram of A', a Venn diagram of B' and then combine them,.
Exactly right.