SOLUTION: IS MY ANSWERS CORRECT? Let S be the universal set, where: S={1,2,3,...,18,19,20} Let sets A and B be subsets of S, where: Set A={1,2,4,5,8,9,11,12,15,16,17,18,20}

Algebra ->  Probability-and-statistics -> SOLUTION: IS MY ANSWERS CORRECT? Let S be the universal set, where: S={1,2,3,...,18,19,20} Let sets A and B be subsets of S, where: Set A={1,2,4,5,8,9,11,12,15,16,17,18,20}       Log On


   



Question 1050373: IS MY ANSWERS CORRECT?
Let S be the universal set, where:
S={1,2,3,...,18,19,20}
Let sets A and B be subsets of S, where:
Set A={1,2,4,5,8,9,11,12,15,16,17,18,20}
Set B={2,5,6,7,8,12,14,16,19,20}

LIST the elements in the set (A∩Bc) = { the answer I have is
4,9,11,15,17,18

LIST the elements in the set (B∩Ac) = { the answer I have is 1,6,7,14,19

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
IS MY ANSWERS CORRECT?
Let S be the universal set, where:
S={1,2,3,...,18,19,20}
Let sets A and B be subsets of S, where:
Set A={1,2,4,5,8,9,11,12,15,16,17,18,20}
Set B={2,5,6,7,8,12,14,16,19,20}

LIST the elements in the set (A∩Bc) = { the answer I have is
4,9,11,15,17,18

LIST the elements in the set (B∩Ac) = { the answer I have is 1,6,7,14,19
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

highlight%281%29
S        = {1,2,3,...,18,19,20} 
A        = {1,2,  4,5,    8,9,   11,12,      15,16,17,18,   20} 
B        = {  2,    5,6,7,8,        12,   14,   16,      19,20} 

Bc       = {1,  3,4,        9,10,11,   13,   15,   17,18      }    <<<--- see how I formed the set Bc. 
                                                                   It is a necessary intermediate part of the solution.

Then

(A n Bc) = {1,    4,        9,   11,         15,   17,18}          <<<--- me, ikleyn

the answer I have is 
           {      4,        9,   11,         15,   17,18}          <<<--- you, the author 


I am very glad that you followed my advise and made your part of the work.

Your work is good.  Almost perfect !
But,  what is even more important,  you did it on your own and,  I hope,  learned something useful and got some new skills.
! Congratulations !

Now I can communicate with you as with equal partner.