Here given that:
- U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
- A = {1, 2, 3, 4, 5}
- B = {1, 3, 5, 7}
Here let's first find the set A' , by using formula:
→ A' = U - A
→ A' = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} - {1, 2, 3, 4, 5}
→ A' = {6, 7, 8, 9, 10}
Now A' ∩ B is the set of all common elements of A' and B as
→ A' ∩ B = {6, 7, 8, 9, 10} ∩ {1, 3, 5, 7}
→ A' ∩ B = {7}
Hence, A' ∩ B is a singleton set