Question 388242: If U={1,2,3,4,5,6,7,8,9,10} and A={1,2,3} B={2,4,6,8} C=(7,8,9,10}
What is A', B(upside down U)C and (B'U C)'?
Answer by CharlesG2(834)   (Show Source):
You can put this solution on YOUR website! If U={1,2,3,4,5,6,7,8,9,10} and A={1,2,3} B={2,4,6,8} C=(7,8,9,10}
What is A', B(upside down U)C and (B'U C)'?
U --> universe U --> contains all elements considered in this problem
A' --> complement of subset A --> all elements in U but not in A
A' = {4,5,6,7,8,9,10}
B' --> complement of subset B --> all elements in U but not in B
B' = {1,3,5,7,9,10}
C' --> complement of subset C --> all elements in U but not in C
C' = {1,2,3,4,5,6}
upside down U --> intersection --> where 2 sets overlap
B intersection C = what elements B shares with C = {} or the empty set
U symbol --> union --> all elements in 2 sets
B' union C = {1,3,5,7,8,9,10}
(B' union C)' = {2,4,6}
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