Answer
A'∩(B∪C') = {2}
Work Step by Step
U={1,2,3,4,5,6,7}
A={1,3,5,7}
B={1,2,3}
C={2,3,4,5,6}
TO FIND A'∩(B∪C') Let's first find A' & C'
A'= {2,4,6} (All the elements of universal set U which are not there in A)
C' = {1,7} (All the elements of universal set U which are not there in C)
B∪C' = {1,2,3} ∪ {1,7} = {1,2,3,7}
(All the elements of B and the elements of C' which are not there in B)
A'∩(B∪C') = {2,4,6} ∩ {1,2,3,7} = {2}
(Common elements of A' and (B∪C')
