Answer
AU(B∩C)={1,2,3,4,5}
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 AU(B∩C).
(B∩C) represents the elements common to both the sets B and C.
The common elements are 1,5.
(B∩C)={1,5}
AU(B∩C) represents the all elements of set A and the elements of set (B∩C) which are not present in set A.
The common elements are 1,2,3,4,5.
AU(B∩C)={1,2,3,4,5}
