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Which of the following are the 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 lt 5 and x gt 7`}
(iv) {y : y is a point common to any two parallel lines}.

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AI Generated Solution

To determine which of the given sets are null sets, we need to analyze each option step by step. ### Step 1: Analyze the first set **Set of odd natural numbers divisible by 2** - Odd natural numbers are numbers like 1, 3, 5, 7, etc. - Any number that is divisible by 2 is an even number. - Since no odd number can be divisible by 2, this set has no elements. **Conclusion:** This set is a null set. ...
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