Part 1 attempt all questions 1 given that a = {3, 5, 7,9}, b = {2,4,6,8} and c = {x: 3 < x < 9} are subsets of a universal set, u = {2, 3, 4, 5, 6, 7, 8, 9}. find: a) an (b'n c') b) (aub) n (buc)

a)  A n  (B' n C') =  {3, 9}.

b) (AUB) n (BUC) = {2,4,5,6,7,8}

Step-by-step explanation:

a)  Rewriting C ; C = {4,5,6,7,8}

B' = {3,5,7,9} and C' = {2, 3, 9}

so (B' n C') = {3, 9}

and A n  (B' n C') =  {3, 9}.

b)  {A U B} = { 2,3,4,5,6,7,8,9} and {B U C} = {2,4,5,6,7,8}

so (AUB) n (BUC) = {2,4,5,6,7,8}