All examples of the empty set are equal.
Explanation:
As for the empty set, there is no element in all the sets, so all examples of the empty set must be equal.
Hence, the given statement is true.
All examples of empty sets are equal.
All examples of empty sets are equivalent.
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}.
Classify the given set as empty set, finite set, infinite set:
Thesetofallfruitsintheworld