SOLUTION: U = { 1,2,3,4,5,6,7 }, A = { 1,2,5,7, } , B = { 1,4,5 } What is the set A'⋂B'?

Algebra ->  sets and operations -> SOLUTION: U = { 1,2,3,4,5,6,7 }, A = { 1,2,5,7, } , B = { 1,4,5 } What is the set A'⋂B'?       Log On


   



Question 636672: U = { 1,2,3,4,5,6,7 }, A = { 1,2,5,7, } , B = { 1,4,5 } What is the set A'⋂B'?
Answer by Edwin McCravy(20055) About Me  (Show Source):
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U = { 1,2,3,4,5,6,7 }, A = { 1,2,5,7, } , B = { 1,4,5 } What is the set A'⋂B'?
A' is the set of all elements in U which are not elements of A.
So A' = { 3,4,6 }

B' is the set of all elements in U which are not elements of B.
So B' = { 2,3,6,7 }

So A'⋂B' = { 3,4,6 } ⋂ { 2,3,6,7 }

The intersection contains only the elements that are in common
to both sets, which are 3 and 6, so

A'⋂B' = { 3,4,6 } ⋂ { 2,3,6,7 } = { 3,6 }

Edwin