Which of the following is not an empty set?

- a){x : x is a multiple of 7, x < 7, x ∈ N}
- b)Set of common points of two parallel lines in a plane
- c){x : 6 + 2x > 5x + 3, x ∈ N}
- d)Set of smallest whole number

Correct answer is 'D'. Can you explain this answer?

65 Answers

Shalini Nawariya
answered
Mar 25, 2020

Yes D will be the right answer because in all the statement , set will not consist any element satisfying given condition except option D as 0 is the smallest whole number as per given .

Shweta Singh
answered
May 03, 2020

It is not defined that how many numbers are smallest whole number as it is given in question to write the set of smallest whole number.

Anupam Jain
answered
Apr 18, 2020

Yes ,buddy correct ans is 'D' Because it have element {0}

so it is correct

so it is correct

Shashank Jaiswal
answered
May 26, 2018

As, the set of Whole numbers is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ...};

So, according to the set of whole numbers above, the smallest whole number should be "0" and therefore the set of smallest whole number is not empty.

Tarun Mahawar
answered
Apr 15, 2020

Set of smallest whole number is {0}, which is a non empty set.So, correct answer is option is (D).

Vandana Gupta
answered
Mar 23, 2020

Smallest whole number cannot make a set because it is single term and single terms do not make sets.

Dr Stephen Strange
answered
Jan 07, 2020

Correct answer is (A)

because

multiple of 7 can't be smaller than 7 itself.

because

multiple of 7 can't be smaller than 7 itself.

Lahari Mothukuri
answered
13 hours ago

If you see option( a ) x can be 7,14,21and so on but according to given condition these numbers are not less than 7 hence it is an empty set

if you see option (b) two parallel lines cannot intersect each other so there is no common point hence it is an empty set

if you see otion (c) 6+2x>5x+3 can only be possible when x is a negative number but according to given condition x should be natural number hence it is an empty set

if you see option (d) whole numbers are {0,1,2,3,4,and so on} in this smallest whole number is {0} hence it is not an empty set. can also say it as singleton set

if you see option (b) two parallel lines cannot intersect each other so there is no common point hence it is an empty set

if you see otion (c) 6+2x>5x+3 can only be possible when x is a negative number but according to given condition x should be natural number hence it is an empty set

if you see option (d) whole numbers are {0,1,2,3,4,and so on} in this smallest whole number is {0} hence it is not an empty set. can also say it as singleton set

Prateek Raj
answered
Feb 13, 2020

Correct answer is d because option a, b, c, are empty set.

(A) - In table of 7 any number is not less than 7 when x belongs to natural number. ex:- 7,14,21,28,35,42,49,56,etc thus, (empty set)

(B) - In these parallel lines: == or I I . There were no intersection points or no common points as you see. ( distance between two or more parallel lines remain always equal) . thus, (empty set)

(C) - as you put the values of x, where x is a natural number

then you get the same value for x=1 but for greater than 1

you get the value of 5x+3 more than 6+2x which is not satisfying by the given condition. thus, (empty set)

(D) - whole numbers : 0,1,2,3,4,5,6,7,8,9,10,11,etc

set of smallest whole number is 0 - {0}.thus,(Singleton set)

not an empty set.

(A) - In table of 7 any number is not less than 7 when x belongs to natural number. ex:- 7,14,21,28,35,42,49,56,etc thus, (empty set)

(B) - In these parallel lines: == or I I . There were no intersection points or no common points as you see. ( distance between two or more parallel lines remain always equal) . thus, (empty set)

(C) - as you put the values of x, where x is a natural number

then you get the same value for x=1 but for greater than 1

you get the value of 5x+3 more than 6+2x which is not satisfying by the given condition. thus, (empty set)

(D) - whole numbers : 0,1,2,3,4,5,6,7,8,9,10,11,etc

set of smallest whole number is 0 - {0}.thus,(Singleton set)

not an empty set.

Waseem Raja Wasi
answered
Apr 03, 2020

0 is a samalest whole number . therefore it's not empty set {0}

Chinmay Mahajan
answered
Mar 23, 2020

Set of smallest whole number can't be defined because smallest whole number is 0 and so to which limits the number are involved can't be explained hence d is the correct explanation

Sagar Pandey
answered
Jan 23, 2020

Option 1,2and3clearly an empty set but option d is not an empty set because it contains element:

w={0,1,2,3,4,5,6,7...}

w={0,1,2,3,4,5,6,7...}

Anita Gupta
answered
Jan 03, 2020

D is right because there is only 1 smallest whole no. so it can't be empty set

Asiya Anjum
answered
59 minutes ago

Set of smallest whole number is 0.,so it is not an empty set.....

hence option D is correct

hence option D is correct

Avula Vivekanandam
answered
Apr 20, 2020

Yes D option is right, because in above three options are null set, fourth option is not null set because smallest whole number is 0 (zero)

Rajendra Singh Bhandari
answered
2 weeks ago

All option contain no elements in there sets

but option D contain a number 0 in its set so D should be correct ans

but option D contain a number 0 in its set so D should be correct ans

Ujwala Desu
answered
2 weeks ago

Option D is the ans bcuz smallest whole number ois "0" therefore cardinal number of the set is 1 but not zero ....so it can't be an empty set

Kotakids Notebook
answered
1 week ago

D is not an empty set as it contains 0 smallest whole numbers as elements.

Sathya Moorthi Sathya Mo
answered
6 days ago

Because the smallest whole number set is {0}. This is not an empty set

Mahammad Shaikh
answered
4 weeks ago

Because the smallest whole number is zero.

and in the set zero number show empty set therefore correct option is D

and in the set zero number show empty set therefore correct option is D

Damini Tijare
answered
3 weeks ago

If we find elements in the set then we find that all a,b,c have no elements but for option d there is some element so option d is correct.

Shresthi Shelke
answered
3 weeks ago

Coz smallest whole number is zero and zero is considered as element of set .. D is the answer

Isha Mishra
answered
2 weeks ago

Ans D is not an empty set, as zero is the smallest whole no, rest of the options are empty sets,

a) there is no multiple of 7 less than 7

b) parallel lines have no common point

c)empty set

a) there is no multiple of 7 less than 7

b) parallel lines have no common point

c)empty set

Shashi Bhushan
answered
6 days ago

As empty set is set of no elements present in it.

since sets belongs to the smallest whole no that is which is not an empty set.A={0}, set a has one element in its.

Hence D is correct answer.

since sets belongs to the smallest whole no that is which is not an empty set.A={0}, set a has one element in its.

Hence D is correct answer.

Anjali Kumari
answered
5 days ago

It is because smallest whole number is 0 which is null or empty set

Sarika Bharti
answered
May 01, 2020

Correct option is D because it has an element 0 while in all other options a null set became.

Sidram Jamdade
answered
4 weeks ago

The set do not have any element which is called empty set .The set of whole numbers is (0,1,2,3,4,5,6,7,8,9,.....).Here (0) is a smallest whole no. in a whole number set .Then no. of element in a set is 1 .So, this is not an empty set .

Ans. D

Ans. D

Champa Bai
answered
4 weeks ago

Yes option D will be correct

as it consists one element

that is {0} and hence not a EMPTY SET..

as it consists one element

that is {0} and hence not a EMPTY SET..

Aditi Jaiswal
answered
3 weeks ago

D is correct option... This is because all other options are empty set

Sharda Bhooshan
answered
2 weeks ago

Because. uper ke teeno answer apni baat ko fallow nahi kr rahe and fourth number follow kr Raha hai

Å˜äje Sonï
answered
2 days ago

Since there is no multiple of 7 less than 7 so option A goes.

since there is no common points between two parallel lines so option B goes. there is no value of x which satisfy the equation so c goes. option D IS CORRECT it's a non empty set

since there is no common points between two parallel lines so option B goes. there is no value of x which satisfy the equation so c goes. option D IS CORRECT it's a non empty set

Pottola Rajagoud
answered
3 days ago

Yes D will be correct answer because smallest whole number is zero if it is zero means no numbers are present so it is empty set

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