SOLUTION: Given A = { 3, 9, 10}, B = {2, 7, 9}, C = { 1, 5, 10} and Universal Set, U = {1,2,3,4,5,6,7,8,9,10} FIND: A. the complement of A U B B. A intersect C C. (

Algebra ->  Finite-and-infinite-sets -> SOLUTION: Given A = { 3, 9, 10}, B = {2, 7, 9}, C = { 1, 5, 10} and Universal Set, U = {1,2,3,4,5,6,7,8,9,10} FIND: A. the complement of A U B B. A intersect C C. (      Log On


   



Question 173100: Given A = { 3, 9, 10}, B = {2, 7, 9}, C = { 1, 5, 10} and Universal Set,
U = {1,2,3,4,5,6,7,8,9,10} FIND:
A. the complement of A U B
B. A intersect C
C. (A intersect B) intersect C
D. the complement of B

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


A)


To find A U B, simply combine the sets A and B to get

A U B = { 2, 3, 7, 9, 10}


Now to find the complement of A U B, just form a new set of elements that are in U, but NOT in A U B


So


(A U B)' = {1,4,5,6,8}







B)

To find A intersect C, just look for the elements that are in A AND in C


Since the element 10 is in both sets A and C, this means that


A intersect C = {10}