SOLUTION: Find all sets S , if any, such that S ⊆ { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } and S satisfies each and all of the following conditions: i) S ∩ { 1 , 2 , 3 , 4 , 5 } =

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Question 536859: Find all sets S , if any, such that S ⊆ { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } and S satisfies each and all of the following conditions:
i) S ∩ { 1 , 2 , 3 , 4 , 5 } = { 2 , 4 } ,
ii) S ∪ { 2 , 3 , 5 , 6 , 8 } = { 2 , 3 , 4 , 5 , 6 , 7 , 8 } , and
iii) S – { 3 , 4 , 7 , 8 , 9 } = { 1 , 5 , 6 }
I know how to do i, ii, but iii seems to be little tricky and how to S that satisfies ALL of the following? Thanks!

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
You have copied something wrong!
i) tells us that 1 is NOT
a member (element) of S
yet iii) tells us that 1 IS an element
(member) of S.


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