SOLUTION: U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} B = {1, 3, 5, 7} How many elements are in (A' ∪ B)' ?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} B = {1, 3, 5, 7} How many elements are in (A' ∪ B)' ?      Log On

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Question 1165382: U = {1, 2, 3, 4, 5, 6, 7}
A = {1, 2, 4, 5}
B = {1, 3, 5, 7}
How many elements are in (A' ∪ B)' ?

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
U = {1, 2, 3, 4, 5, 6, 7}
A = {1, 2, 4, 5}
B = {1, 3, 5, 7}
How many elements are in (A' ∪ B)' ?
(A' ∪ B)'
Substitute the sets for the letters

({1, 2, 4, 5}' ∪ {1, 3, 5, 7})'

     {1, 2, 4, 5}' means to put all the OTHER elements of U in a set
                   and none of these:  

({3, 6, 7} ∪ {1, 3, 5, 7})'

     The ∪ means to combine both sets into one: 

({1, 3, 5, 6, 7})'

     The ' means to put all the OTHER elements of U in a set and none of 
     these   

{2, 4} contains 2 elements <--answer

Edwin