If U = , A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 9, 10},

Find

i. A’

ii. B’

iii. A’ ∪ B’

iv. A’ ∩ B’

U = {x : 1≤x≤10, x ∈ N}

U contains all the natural numbers that are greater than or equal to 1 and less than or equal to 10}

∴ U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

i. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5, 7, 9}

A’ = {2, 4, 6, 8, 10} [elements that are present in U but not in A]

ii. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

B = {2, 3, 5, 9, 10}

B’ = {1, 4, 5, 6, 7, 8} [elements that are present in U but not in B]

iii. A’ = {2, 4, 6, 8, 10}

B’ = {1, 4, 5, 6, 7, 8}

∴ A’ ∪ B’ = {1, 2, 4, 5, 6, 7, 8, 10} [elements that are present in either A’ or B’]

iv. A’ = {2, 4, 6, 8, 10}

B’ = {1, 4, 5, 6, 7, 8}

∴ A’ ∩ B’ = {4, 6, 8} [elements that are present in both A’ and B’]