SOLUTION: 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 ′.

Algebra ->  sets and operations -> SOLUTION: 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 ′.       Log On


   

Question 197927: 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 ′.

Found 2 solutions by cel072880, jim_thompson5910:
Answer by cel072880(4) About Me  (Show Source):
You can put this solution on YOUR website!
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 ′.
A, U, C's intersect with B (n, o, r, s, v, w)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, list the values of A', B', and C'











Now combine the sets A' and C' to perform the set union A' U C'. So take ALL the elements in sets A' and C' and combine them to make a new set (remember to take out duplicates). So after combining the two sets, we get:






Now the next step is to perform an intersection with the sets and . So what elements do and have in common? In other words, what are the common elements between the sets and ? Since these sets only have the elements "m","p",and "u" in common, this means that






Let me know if this makes sense.