Which of the following is not a null set?

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

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

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C = {x: x - 3=0, x is decimal number}

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

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Solution

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

A = {1}, 1 is the only natural number between -10 and 2

B = { }; 2 is the only even prime. There are no numbers greater than 2 that are even prime.

C = { }; x- 3 =0 ⇒x= 3 which is not decimal number.

D = { }; odd numbers are not divisible by 2.

Suggest Corrections

Similar questions

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}

Taking the set of natural numbers as the universal set, write down the complements 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 perfect cube}

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

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

(x) {x: x ≥ 7}

(xi) {x: x ∈ N and 2x + 1 > 10}

If B = {1, 3, 5, 7, 9}, the set-builder representation of B is:

The set-builder representation of set $B = {1, 3, 5, 7, 9}$ is ______.

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