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. (

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) (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}
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