Q1 of 145 Page 9

Which of the following are examples of the null set?

Set of odd natural numbers divisible by 2.


Natural numbers = 1, 2, 3, 4, 5,…


Odd Natural numbers = 1, 3, 5, 7, 9, 11, …


No odd natural number is divisible by 2.


∴ no elements in this set


∴ It is a null set.


More from this chapter

All 145 →
5

Write each of the sets given below in set7builder from:

(i) .


(ii) .


(iii) C = {53, 59, 61, 67, 71, 73, 79}.


(iv) D = {–1, 1}.


(v) E = {14, 21, 28, 35, 42, …., 98}.


 6

Match each of the sets on the left described in the roster from with the same set on the right described in the set-builder from:







































Column I



Column II



(i)



{–5, 5}



(a)



{x : x ϵ Z and x2 < 16}



(ii)



{1, 2, 3, 6, 9, 18}



(b)



{x : x ϵ N and x2 = x}



(iii)



{–3, –2, –1, 0, 1, 2, 3}



(c)



{x : x = ϵ Z and x2 = 25}



(iv)



{P, R, I, N, C, A, L}



(d)



{x : x ϵ N and x is a factor of 18}



(v)



{1}



(e)



{x : x is a letter in the word ‘PRINCIPAL’}



 1

Which of the following are examples of the null set?

Set of even prime numbers.


 1

Which of the following are examples of the null set?

A = {x : x ϵ N, 1 < x ≤ 2}.