Answer
(A'∩B) ∪ (A'∩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) ∪ (A'∩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)
A'∩B = (2,4,6} ∩ {1,2,3} = {2} (Common elements of A' and B)
A'∩C' = (2,4,6} ∩ {1,7} = { } (Common elements of A' and C')
(A'∩B) ∪ (A'∩C') = {2} ∪ { } = {2}
(All the elements of (A'∩B) and the elements of (A'∩C') which are not there in (A'∩B))
