Question

let u={0,1,2,3,4,5,6,7}, a={1,3,5,7} and b={0,2,3,5,7} find (I) a'ub' (ii) (anb)'​

Answer 1

Answer:

a'={0,2,4,6}

b'={1,4,6}

a'ub'={4,6}

anb={ 3,5,7}

(anb)'={0,1,2,4,6}

Answer 2

Answer:

(I) a'={0,1,2,3,4,5,6,7} - {1,3,5,7} = {0,2,4,6}

b'={0,1,2,3,4,5,6,7} - {0,2,3,5,7} = {1,4,6}

a' U b' = {0,2,4,6} U {1,4,6}

a' U b' = {0,1,2,4,6}

(ii) According to identity (a n b)' = a' U b'

as we solve above a' U b'

a' U b' = {0,1,2,4,6}