Q1 of 145 Page 9

Which of the following are examples of the null set?

Set of even prime numbers.


Prime numbers = Those numbers which are divisible by 1 and number itself.


Prime numbers = 2, 3, 5, 7, 11, 13,…


Even Prime number = 2


∴ set is not empty.


∴ It is not a null set


More from this chapter

All 145 →
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 odd natural numbers divisible by 2.


 1

Which of the following are examples of the null set?

A = {x : x ϵ N, 1 < x ≤ 2}.


 1

Which of the following are examples of the null set?

B = {x : x ϵ N, 2x + 3 = 4}.