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Which of the following are the examples ...

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}.

Text Solution

AI Generated Solution

To determine which of the given sets are examples of the null set, we need to analyze each option based on the definition of a null set. A null set, also known as an empty set, is a set that contains no elements. Let's evaluate each option step by step: ### Step 1: Analyze the first option **Option (i): Set of odd natural numbers divisible by 2.** - Odd natural numbers are numbers like 1, 3, 5, 7, etc. ...
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