Answer
A'∩B' = {4,6}
Work Step by Step
U = {1,2,3,4,5,6,7}
A = { 1,3,5,7}
B = {1,2,3}
The set A' contains all the elements that are not in set A
Since A contains 1,3,5,7 so these elements will not be there in set A'
Therefore the elements of A' are 2,4,6.
A' = {2,4,6}
The set B' contains all the elements that are not in set B
Since B contains 1,2,3 so these elements will not be there in set B.
Therefore the elements of B' are 4,5,6,7.
B' = {4,5,6,7}
A'∩B' implies the common elements which are present in both the sets A' and B.
Therefore the common elements are 4,6.
A'∩B' = {4,6}