If A = [1,2,5,7] and B = [1,3,5,7] are subset of the universe U [1,2,3...10], Find A'uB

Answer 1

To find A'uB, we first need to find the complement of A (Au) and the complement of B (Bu), and then find the union of these two complements.

Complement of A (Au):
Since A is a subset of U, the complement of A would be the elements in U that are not in A.
Complement of A = [3,4,6,8,9,10]

Complement of B (Bu):
Since B is a subset of U, the complement of B would be the elements in U that are not in B.
Complement of B = [2,4,6,8,9,10]

Now, we find the union of Au and Bu:

A'uB = [3,4,6,8,9,10] U [2,4,6,8,9,10]
= [2,3,4,6,8,9,10]

Therefore, A'uB = [2,3,4,6,8,9,10]