Identify the null set from the following:
The set which contains only zero as its element
Odd natural numbers divisible by 2
The set of points common to two intersecting lines
The set of even prime numbers
A set which does not contain any element is called the null set.Odd natural numbers are not divisible by 2. Hence the given set is a null set.
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 number, x < 5 and x > 7}
(iv) { y : y is a point common to any two parallel lines}