Question

EXERCISE 1.2
X.
Which of the following are examples of the null set
(i) Set of odd natural numbers divisible by ?
(ii) Set of even prime numbers
(iii) { x:x is a natural numbers, x < 5 and x >7}
(iv) {y:y is a point common to any two parallel lines}
Which of the following sets are finite or infinite
(i) The set of months of a year
(i) {1,2,3,...)
(iii) {1,2,3,...99, 100}
(iv) The set of positive integers greater than 100
(v) The set of prime numbers less than 99
State whether each of the following set is finite or infinite:
(1) The set of lines which are parallel to the x-axis
(i) The set of letters in the English alphabet
(ii) The set of numbers which are multiple of 5​

Answer 1

(i) , (iii) , (iv) are the null sets.

(i) Finite

(ii) Infinite

(iii) Finite

(iv) Infinite

(v) Finite

(1) Infinite

(i) Finite

(ii) Infinite

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