Sets and probability

Question

Let

U=126.27, 28, 29, 30, 31, 32, 33, 34, 35)

A = (29, 30, 31, 32)

B = (126,28, 30, 32, 34)

C= (27, 29, 30, 34, 35)

Find the set.

(A' U B)' U C' =

Answer 1

A' = U \ A = {126, 27, 28, 33, 34, 35}

A' ∪ B = {126, 27, 28, 30, 32, 33, 34, 35}

(A' ∪ B)' = U \ (A' ∪ B) = {29, 31}

C' = U \ C = {126, 28, 31, 32, 33}

(A' ∪ B)' ∪ C' = {126, 28, 29, 31, 32, 33}

Answer 2

U = {126, 27, 28, 29, 30, 31, 32, 33, 34, 35}

A = {29, 30, 31, 32}

B = {126, 28, 30, 32, 34}

C= {27, 29, 30, 34, 35}

A' = U \ A = {126, 27, 28, 33, 34, 35}

A' ∪ B = {126, 27, 28, 30, 32, 33, 34, 35}

(A' ∪ B)' = U \ (A' ∪ B) = {29, 31}

C' = U \ C = {126, 28, 31, 32, 33}

(A' ∪ B)' ∪ C' = {126, 28, 29, 31, 32, 33}