Question

let u={ 1, 2, 3, 4, 5, 6, 7, 8}, A={2, 4, 6, 8} B={2, 4, 8}
Find A' and B'
also find {a union b}'
verify {A union B}' = A' intersecing B'? ​

Answer 1

Answer:

A' = { 1, 3, 5, 7 }

B' = { 1, 3, 5, 6, 7}

( A ∪ B ) = { 2, 4, 6, 8 }

( A ∪ B )' = { 1, 3, 5, 7 }

( A' ∩ B' ) = { 1, 3, 5, 7 }

∴ ( A ∪ B )' = ( A' ∩ B' )