Question

Let u= {0.1.2.3.4.5.6}
A ={3.4.5}
B = {2.3}
Find
De morgans laws​

Answer 1

Let U= {0,1,2,3,4,5,6}

A ={3,4,5}

B = {2,3}

Demorgon's law

(AUB)' = A' n B'

L.H.S

AUB = {2,3,4,5}

(AUB)' = {0,1,6} .....................(1)

R.H.S

A' = {0,1,2,6}

B' = {0,1,4,5,6}

A' n B' = {0,1,6} .....................(2)

from (1) & (2) we get

L.H.S = R.H.S

Hence proved