Give two examples of each of the following : (i) Null set (ii) Finit

1.	Give two examples of each of the following : (i) Null set (ii) Finite set (iii) Infinite set (iv) Universal set
Answer» (i) Null Set (a) A = {x : x is a natural number less than 1} (b) B = {x : x is a positive natural number which lies between 2 and 3} (ii) Finite set (a) A = {x : x² < 10, where x is a prime number} (b) B = {x : x, is any month of a year} (iii) Infinite set (a) P = {x : x = 2n, where n is a natural number} (b) Q = {x : x = p/q, where p and q are integer and q ≠ 0} (iv) Universal set (a) Set of integers for natural numbers. (b) Set of real numbers for natural numbers, integers and rational numbers.

Give two examples of each of the following : (i) Null set (ii) Finite set (iii) Infinite set (iv) Universal set

Answer»

(i) Null Set

(a) A = {x : x is a natural number less than 1}

(b) B = {x : x is a positive natural number which lies between 2 and 3}

(ii) Finite set

(a) A = {x : x² < 10, where x is a prime number}

(b) B = {x : x, is any month of a year}

(iii) Infinite set

(a) P = {x : x = 2n, where n is a natural number}

(b) Q = {x : x = p/q, where p and q are integer and q ≠ 0}

(iv) Universal set

(a) Set of integers for natural numbers.

(b) Set of real numbers for natural numbers, integers and rational numbers.