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Which of the following are examples of the null set(i) Set of odd natural numbers divisible by 2(ii) Set of even prime numbers(iii) {x: x is a natural numbers, `x < 5`and `x > 7`}(iv) {y: y is a point common to any two parallel lines}

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To determine which of the given sets are examples of the null set, we need to analyze each option carefully. A null set, denoted as ∅, is a set that contains no elements. Let's evaluate each option step by step. ### Step-by-Step Solution: 1. **Option (i): Set of odd natural numbers divisible by 2** - Odd natural numbers are defined as numbers that cannot be divided by 2 (e.g., 1, 3, 5, ...). - Since there are no odd natural numbers that can be divisible by 2, this set contains no elements. - **Conclusion**: This is a null set (∅). ...
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