SOLUTION: Please help me solve this problem I have sent 3 times and can't get an answere back. Thank you-Karen 4. (7 pts) Given U = {All letters of the alphabet} A = {b, c, d} and

Question 143080This question is from textbook Survey of Math w/ Apllications
: Please help me solve this problem I have sent 3 times and can't get an answere back. Thank you-Karen
4. (7 pts)
Given U = {All letters of the alphabet} A = {b, c, d} and B = {c, e, f, g}
List the elements of set
(a) A U B (b) A ∩ B (c) A′ ∩ B′ (d) A′ U B′ (e) A U B′
(f) (A U B′ ) ∩ B (g) (A U B) ∩ (A U B′)
This question is from textbook Survey of Math w/ Apllications

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first four to get you started

a)

is simply the union between the two sets. So simply take all of the uniqe elements of each set and put them together in the new set

is simply the intersection between the two sets. So whatever elements in two sets have in common will make up

(which in English says "set A intersect with set B")

Since set A and set B have the element "c" in common, this means the intersection of sets A and B gives us:

c)

The notation A' simply means the set of every letter that is NOT in set A. So A' is the entire alphabet but with the letters b,c, and d taken out of it

So

The notation B' simply means the set of every letter that is NOT in set B. So B' is the entire alphabet but with the letters c, e, f, and g taken out of it

So

Now let's take the intersection between the two sets.

Since set A' and set B' have the elements a, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, and z in common, this means the intersection of sets A' and B' gives us:

d)

Using the same sets A' and B' from part c)

is simply the union between the two sets. So simply take all of the uniqe elements of each set and put them together in the new set

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