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?

JEE Question

By Abhishek Dubey · Dec 12, 2019 ·JEE
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

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).

Raveendra Chandagani answered 3 days ago
O is small est whole no

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.

Peter Parker answered Apr 03, 2020
Option D is correct.

Dr Stephen Strange answered Jan 07, 2020
Correct answer is (A)
because
multiple of 7 can't be smaller than 7 itself.

Kartik Swami answered Jan 07, 2020
Smallest whole number is zero which can't be a empty set

Nisha Sharma answered 2 weeks ago
Answer is D( Set of smaller whole number)

Sahil Rana answered Jan 08, 2020
Correct answer is option 'D'

Shashmith Shashmith answered Mar 24, 2020
D is correct answer

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

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.

Vivek Sagarwal answered Apr 08, 2020
Set of smallest number is start from 0

Waseem Raja Wasi answered Apr 03, 2020
0 is a samalest whole number . therefore it's not empty set {0}

Devansh Raj answered yesterday
(D) is correct answer

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...}

Anita Gupta answered Jan 03, 2020
D is right because there is only 1 smallest whole no. so it can't be empty set

Vansh Bhardwaj answered Dec 12, 2019
D- Set of smallest whole no. which has definite value

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

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

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

Harsh Gujalwar answered 5 days ago
Set of smallest whole no. is zero i.e not empty while others are

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

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

Ashok Kumar answered 2 weeks ago
D...is correct because
0 is the smallest whole no.

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.

Anjali Kumari answered 5 days ago
It is because smallest whole number is 0 which is null or empty set

Diya Bhardwaj answered 3 weeks ago
D option is correct

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

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..

Abhi Gupta answered 2 weeks ago
Answer is D

Aditi Jaiswal answered 3 weeks ago
D is correct option... This is because all other options are empty set

Nisha Rajput answered Apr 25, 2020

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

Nagireddy S answered 2 weeks ago
Answer is C not D because there is no natural number less than 1

Krishankumar Beniwal answered 3 days ago
Because in d is a set of 0 so it's not empty set

Řäje 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

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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