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 ′. I

Question 202683: 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 ′.
I really need help on this. I have tried and tried to do this Universal Set U stuff but it is very confusing to me... Please help...

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: to add more to your confusion, the universal set U and the union operator U are actually two different symbols and stand for completely different ideas....

First, let's find A'. So form a set of elements from U but NOT in A:

Now let's find B'. Apply the same technique but form a set of elements from U but NOT from B:

Finally, do the same for C'. Make a set from U but NOT from C:

-----------------

Now let's find

:

Combine the sets A' and C' and remove duplicates to get

Now take the common elements from set

and B' to get the elements: m, p, and u

Note: these elements are in BOTH sets

and B'

So

So the final set we're looking for is

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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&#8242; U C&#8242;) &#8745; B &#8242;. I

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 ′. I