Question

If U={1,2,3,4,5,6,7,8,9},A={2,4,6,8} and B={2,3,5,7}. Verify that (AuB)'= A'nB'

Answer 1

(AuB)’={1,9}
And
A’nB’={1,9}

Answer 2

Answer:

Hey Mate,

Given Data,

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

A = {2, 4, 6, 8}

B = {2, 3, 5, 7}

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

B' = {1, 4, 6, 8, 9}

So, (A' n B') =  {1, 9}

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

(A U B)' = {1, 2, 3, 4, 5, 6, 7, 8, 9} - {2, 3, 4, 5, 6, 7, 8}

(A U B)' = {1, 9} = (A' n B')