#### Answer

(C'∩A) ∪ (C'∩B') = {1,7}

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