If A= {x : x is a natural number}, B = {x : x is an even natural number}C = {x : x is an odd natural number} and D = {x : x is a prime number }, find(i) `A nnB` (ii) `A nnC` (iii) `A nnD`(iv) `B nnC` (v) `B nnD` (vi) `C nnD`

Explanation

To solve the given problem, we need to find the intersections of the sets A, B, C, and D. Let's define the sets first:

- **Set A**: A = {x : x is a natural number} = {1, 2, 3, 4, 5, ...}
- **Set B**: B = {x : x is an even natural number} = {2, 4, 6, 8, 10, ...}
- **Set C**: C = {x : x is an odd natural number} = {1, 3, 5, 7, 9, ...}
- **Set D**: D = {x : x is a prime number} = {2, 3, 5, 7, 11, 13, ...}

Now, we will find the intersections step by step:
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