You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Null Set

Which of the ...

Question

Which of the following statements are correct?

A = {x: -10<x<2, x is a natural number}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B = {x:x is an even prime number greater than 2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C = {x: x²- 3=0. X is rational number}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D = {x: x is an odd natural number divisible by 2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct options are
A
A = {x: -10<x<2, x is a natural number}

B
B = {x:x is an even prime number greater than 2}

C
C = {x: x²- 3=0. X is rational number}

D
D = {x: x is an odd natural number divisible by 2}

Any set which contains all the elements the set under considerationis called the universal set. Thus, every set under consideration is a subset of the universal set.

A null set is the subset of every set.

The set of natural numbers is an infinte set.

The set of factors of 24 are {1, 2, 3, 4, 6, 8, 12, 24}. Thus it is finite.

Suggest Corrections

Similar questions

Q. 7.If A= {x : x is a natural number }, B = {x : x is an even natural number)C= {x:x is an odd natural number) andD = {x : x is a prime number ], find) An B(iv) BC(ii) AnID(vi) Cn Di) AnC

Q. Which of the following are examples of empty set?
(i) Set of all even natural numbers divisible by

5

(ii) Set of all even prime numbers.
(iii)

{x : x^{2} - 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

}

Q. Which of the following are examples of empty set?
(i) Set of all even natural numbers divisible by 5;
(ii) Set of all even prime numbers;
(iii) {x : x² −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}.

Taking the set of natural numbers as the universal set, write down the complement of the following sets :

(i) {x : x is an even natural number}

(ii) {x : x is an odd natural number}

(iii) {x : x is a positive multiple of 3}

(iv) {x : x is a prime number}

(v) {x : x is a natural number divisible by 3 and 5}

(vi) {x : x is a perfect square}

(vii) {x : x is a perfect cube}

(viii) {x : x + 5 = 8}

(ix) {x : 2x + 5 = 9}

(x) {x : x $\geq$ 7}

(xi) {x : x $\in$ N and 2x + 1 > 10}

Which of the following are examples of the null set?

(i) Set of odd natural numbers divisible by 2.

(ii) Set of even prime numbers.

(iii) {x : x is a natural number, x < 5 and x > 7}

(iv) { y : y is a point common to any two parallel lines}

Join BYJU'S Learning Program