Question

U= names of the states in the United States.
A= States that begin with “a” = {AK, AL, AZ. AR}
B= States that border Mexico = {AZ, CA, NM, TX}
C = States on the Pacific coast = {AL, CA, OR, WA}

a. Find A ∩ B
b. Find A ∪ C
c. Find B – C
d. Find (A∪B∪C)’
e. Find (B∪C)∩A
f. Find (A∩B) ∪C



Is 1(a). {AZ} ?

Is 1(b). {AZ, AL, AK, AR, CA, OR, WA} ?

Is 1(c). {AZ, NM, TX} ?

Answer 1

yes yes yes.

Answer 2

can you help me with d, e, and f?

Answer 3

those are more complicated for me..

Answer 4

Sure.

Answer 5

D means "The compliment of A union B union C"
So you would first get the union of those three, and then to take the compliment, you find every state in the universe you're considering that is not in that union.

Answer 6

Let me give a quick example:
Universe = colors of the rainbow
A = {red, green}
B = {violet}
C = {orange}
(A U B U C)' = {red,green,violet,orange}'
so every color of the rainbow not in that list, which is:
{yellow,blue,indigo}

Answer 7

Soooo, do you understand?

Answer 8

So, D would be every state that is not {AK, AL, AZ. AR, CA, NM, TX, OR WA}

Answer 9

Right. So how many states should be in the compliment?

Answer 10

a crap load lol