Answer
A'∩B' = {6,7,8}
Work Step by Step
Given,
U={1,2,3,4,5,6,7,8}
A={1,2,3,4}
B={1,2,4,5}
We need to find (A'∩B').
A' = all the elements of set'U' which are not there in set A = {5,6,7,8}
B' = all the elements of set'U' which are not there in set B = {3,6,7,8}
A'∩B'={5,6,7,8} ∩ {3,6,7,8} = {6,7,8}
(All the common elements of set A' and the set B').
(AUB)' = all the elements of set'U' which are not there in set AUB = {6,7,8}