#### Answer

(A∩C)' U B={1,2,3,4,5,6,7,8}

#### Work Step by Step

U={1,2,3,4,5,6,7,8}
A={1,2,3,4}
B={1,2,4,5}
C={1,5}
We need to find (A∩C)' U B.
(A∩C) represents the elements common to both the sets A and C.
The common elements are 1.
(A∩C)={1}
(A∩C)' represents the elements of set U which are not present in Set (A∩C).
So, (A∩C)'={2,3,4,5,6,7,8}
(A∩C)' U B represents the all elements of set (A∩C)' and the elements of set B which are not present in set (A∩C)'.
The elements are 1,2,3,4,5,6,7,8.
(A∩C)' U B={1,2,3,4,5,6,7,8}