State whether following set is empty or not
{Evennaturalnumberdivisibleby3}
Empty set -
A set having no element is called empty set.
Here given that a set has {Evennaturalnumberdivisibleby3}
Since, There is no even natural number which is divisible by 3.
Therefore this is an empty set.
State which of the following are null or empty set?
The set of odd numbers divisible by 2
State whether the following statement is True or False.
All the numbers which are divisible by 9 are not necessarily divisible by 3.
Which of the following are examples of empty set ?
(i) Set of all even numbers divisible by 5.
(ii) Set of all even prime numbers.
(iii) {x:x2=0 and x is rational}.
(iv) {x : x is a natural number, x < 8 and simultaneously x > 12}.
(v) {x : x is a point common to any two parallel lines}.
State, whether the following set is an example of empty set. (i) Set of all even natural numbers divisible by 5.