SOLUTION: Can someone please help me with these two questions, it seems simple, so I am not sure that I am doing it correctly. Thanks! Given U = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30,

Algebra ->  Geometry-proofs -> SOLUTION: Can someone please help me with these two questions, it seems simple, so I am not sure that I am doing it correctly. Thanks! Given U = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30,       Log On


   



Question 191864: Can someone please help me with these two questions, it seems simple, so I am not sure that I am doing it correctly. Thanks!
Given U = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31}, A = {21, 23, 25, 27, 29}, and
B = {22, 25, 28, 29}. Find A′ U B′.


Given U = {l, m, n, o, p, q, r, s, t, u, v, w}, A = {l, o, p, q, s, t}, B = {n, o, r, s, v, w},
and C = {l, m, n, q, r, t}, find (A′ U C′) ∩ B ′.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll help you find A', B', and C' and let you finish the rest. Repost if you need more help.


To find A', simply list all of the elements of U that are NOT in A. In other words, you're listing elements that are NOT in A. So




Likewise, to find B', list the elements of U that are NOT in B. This means..




Finally, form a set of elements from U but NOT from C:





Now all you need to do is find (just combine sets A' and C') and (take the last set and intersect it with set B')