Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5}.
Find A′, B′, A′∩B′, A∪B and hence show that ( A∪B)′= A′∩B′.

Question

Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5}.
Find A′, B′, A′∩B′, A∪B and hence show that ( A∪B)′= A′∩B′.

anonymous · Answer

I'm going to copy paste ALL the HW!

mertsj · Answer

A'=U-A
B'=U-B
A' intersect B' = elements in both A' and B'
AUB= A+B

goformit100 · Answer

Thank you sir

usukidoll · Answer

I thought intersect is what is unique about A and B.? ? ? ?

usukidoll · Answer

as in what do they NOT have in common

usukidoll · Answer

I don't see 2, 4, and 5 in both A and B, 
I see the number 3 in A and B

usukidoll · Answer

U and A  2 3
what don't they have in common? 1 4 5 6 

U and B 3 4 5
what they don't have in common? 1 2 6

mertsj · Answer

@UsukiDoll  This is America.  You have a right to be wrong.