Question

Fill in the blanks with elements of that set. U= {1, 3, 5, 8, 9, 10, 11, 12, 13, 15} A= { 1,11,13} B={8,5,10,11,15}
A’={---}
B’={---}
A∩ B = {− − −}
A ′ ∩ B ′ = {− − − −}
AUB= {----}
A’∩ B ′ = {− − − −}
(A∩ B)′ = {− − −−}
(AUB)′ = {− − −−}​

Answer 1

Answer :-

A' = U - A

= { 3, 5, 8, 9, 10, 12, 15 }

B' = U - B

= { 1, 3, 9, 12, 13 }

A∩B = { 11 }

A' ∩ B' = { 3, 9, 12}

A U B = { 1, 5, 8, 10, 11, 13, 15}

A' U B' = { 1, 3, 5, 8, 9, 10, 12, 13, 15 }

(A ∩ B)' = U - (A∩B)

= { 1, 3, 5, 8, 9, 10, 12, 13, 15}

(A U B)' = U - (A U B)

= { 3, 9, 12 }