Let `A={x : x in N},\ B={x ; x2n ,\ n in N},\ C={x : x=2n-1, n in N}a n d ,\ D={x : x` is a prime natural number`}` . Find: `AnnB`

Explanation

To find the intersection of the sets \( A \) and \( B \), we first need to understand what each set represents.

1. **Define the Sets**:
- Set \( A = \{ x : x \in \mathbb{N} \} \): This is the set of all natural numbers.
- Set \( B = \{ x : x = 2n, n \in \mathbb{N} \} \): This is the set of all even natural numbers, since \( n \) is a natural number and multiplying it by 2 gives us the even numbers.

2. **Understanding Intersection**:
- The intersection of two sets, denoted as \( A \cap B \), consists of all elements that are common to both sets.
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