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 } =

Algebra ->  Subset -> 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 } =       Log On


   

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) About Me  (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.