Answer
A'∪B' = {2,4,5,6,7}
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' shows all the elements of set A' and set B' and excluding repeated ones.
List the elements from the first set, namely 2, 4 and 6. Now add to the list the elements in the second set that are not in the first set. This includes element in the second set, namely 5 ,7.
The elements of A'∪B' are 2,4,5,6,7.
Therefore A'∪B' = {2,4,5,6,7}