Fill in the blanks to make each of the following a true statement : (i) `AuuA^(prime)=...` (ii) `varphi^(prime)nnA=...`(iii) `AnnA^(prime)=...` (iv) `uu^(prime)nnA=...`

Explanation

To fill in the blanks and make each statement true, we will analyze each part step by step.

### Solution Steps:

1. **Statement (i):** \( A \cup A' = ... \)
- **Explanation:** Here, \( A' \) represents the complement of set \( A \), which includes all elements in the universal set that are not in \( A \). When we take the union of \( A \) and \( A' \), we include all elements of \( A \) and all elements not in \( A \). Therefore, the result is the universal set \( U \).
- **Answer:** \( A \cup A' = U \)

...