If `U={2,3,5,7,9}` is the universal set and `A={3,7},B={2,5,7,9},` then prove that: `(AuuB)^'=A^(prime)nnB '` (ii) `(AnnB)^'=A^(prime)uuB '`

Explanation

To solve the problem, we will prove the two statements step by step.

### Given:
- Universal Set \( U = \{2, 3, 5, 7, 9\} \)
- Set \( A = \{3, 7\} \)
- Set \( B = \{2, 5, 7, 9\} \)

### (i) Prove that \( (A \cup B)' = A' \cap B' \)
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