Question 6 of 47beginner💡 UnderstandShort Answer2 marks
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}
Explanation
The question tests the understanding of the definition of a null set provided in the context ('A set which does not contain any element is called the empty set'). For option (i), odd numbers are never divisible by 2. For option (iii), the conditions x < 5 and x > 7 are contradictory. For option (iv), parallel lines have no intersection. All three result in sets with no elements. Option (ii) is not a null set because the context explicitly mentions '2 is the only even prime number', meaning the set contains one element.