Which of the following are examples of empty set ? (i) Set of all even

1.	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}.
Answer» 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) { $x : x^{2} = 0$ 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}.

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}.

Answer»

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) { $x : x^{2} = 0$ 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}.