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?

125 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.

Yashwanth Kota
answered
2 weeks ago

Option D is correct because in D "0" is an element so it's not an empty set

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).

Aman Choudhary
answered
3 weeks ago

Because the smallest number set is not actually it is an imznary number called negative infinite

Aditi Sharma
answered
Jun 29, 2020

D option is correct

the reason is smallest whole number is zero

and zero and fie are different things fie represents null set whereas zero may or may not be element of any sets

hence in this case the answer is {0}

therefore it's not empty set

hope you guys understood it :-)

the reason is smallest whole number is zero

and zero and fie are different things fie represents null set whereas zero may or may not be element of any sets

hence in this case the answer is {0}

therefore it's not empty set

hope you guys understood it :-)

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.

Lahari Mothukuri
answered
Jun 01, 2020

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

Nishtha Hari
answered
Jun 13, 2020

In option (a) we write it in roster form;

{ } or phi .....phi is member of every set so it will come in every set.

in option (b) we write it in roster form;

{ } or phi as there is no common point between two parallel lines, they can never intersect.

in option (c) in roster form;

{ } or phi....if we take natural no. 1

6+2(1)=8. 5(1)+3=8

as 8 cannot be big no. than itself so ans. is phi

but in opt (d);

{0}, phi .....as phi is member of every set so there is phi as well as 1 member so it is not considered as a null set hence opt (d) is correct one.

{ } or phi .....phi is member of every set so it will come in every set.

in option (b) we write it in roster form;

{ } or phi as there is no common point between two parallel lines, they can never intersect.

in option (c) in roster form;

{ } or phi....if we take natural no. 1

6+2(1)=8. 5(1)+3=8

as 8 cannot be big no. than itself so ans. is phi

but in opt (d);

{0}, phi .....as phi is member of every set so there is phi as well as 1 member so it is not considered as a null set hence opt (d) is correct one.

Bhargav Sompura
answered
Jun 26, 2020

D is correct option as it has one element [0] in it and all other are empty set.

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.

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.

Anjali Malviya
answered
Jul 08, 2020

Yess

set of smallest whole number = { 0 }

which is not an empty set

no. of elements in above set is 1

set of smallest whole number = { 0 }

which is not an empty set

no. of elements in above set is 1

Waseem Raja Wasi
answered
Apr 03, 2020

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

Anjali Kumari
answered
May 27, 2020

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.

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...}

Rahul Kumar
answered
Jun 10, 2020

(a) x € fi

(b) empty set

(c) 6 + 2x > 5x + 3

or,. 3 > 3x

or ,

x < />

now,

x € fi

(d) if we see 1 is the smallest whole number for 2 , 3 etc similar for all thus it's set = {0 , 1 , 2 , 3 , .....}

which is not empty set.

hence d is the correct because

(b) empty set

(c) 6 + 2x > 5x + 3

or,. 3 > 3x

or ,

x < />

now,

x € fi

(d) if we see 1 is the smallest whole number for 2 , 3 etc similar for all thus it's set = {0 , 1 , 2 , 3 , .....}

which is not empty set.

hence d is the correct because

Anita Gupta
answered
Jan 03, 2020

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

Anilkumar Bharti
answered
Jun 05, 2020

Set of smallest whole no conatains 0 as its element...

option c could have been a non empty set until it's an integer and it is mentioned natural numbers...so an empty set

option b ....two parallel lines have no solution so an empty set for common point...

similarly in option a x cannot be the multiple of 7 until it's negative and integers are not allowed so also an empty set

option c could have been a non empty set until it's an integer and it is mentioned natural numbers...so an empty set

option b ....two parallel lines have no solution so an empty set for common point...

similarly in option a x cannot be the multiple of 7 until it's negative and integers are not allowed so also an empty set

Asiya Anjum
answered
Jun 01, 2020

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

hence option D is correct

hence option D is correct

Varshitha Bittu
answered
Jun 18, 2020

D

x<7=0 but="" not="" natural="" number="" so="" empty="" set="">

2.parallel lines never coincide so empty set

3.on solving we get x<1=0 but="" does="" not="" belongs="" to="" natural="" number="" so="" empty="" set="">

4.smallest whole number is 0 so it is not a empty set

x<7=0 but="" not="" natural="" number="" so="" empty="" set="">

2.parallel lines never coincide so empty set

3.on solving we get x<1=0 but="" does="" not="" belongs="" to="" natural="" number="" so="" empty="" set="">

4.smallest whole number is 0 so it is not a empty set

Khirod Mondal
answered
Jun 04, 2020

Yes D option is right because one element is exist in this set . 0 is the smallest whole number

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
May 20, 2020

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

Ananta Kumari
answered
Jul 04, 2020

Smallest whole number is 0,which is count as one element of the set

Shashank Shekhar
answered
2 weeks ago

D because

smallest whole number is is zero so the set will exist

smallest whole number is is zero so the set will exist

Jayant Kumar
answered
2 weeks ago

D is correct , because it is smallest whole number and it's set is possible as { { },{0} }. And rest all are empty set.

Ujwala Desu
answered
May 19, 2020

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
May 25, 2020

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

Sathya Moorthi Sathya Mo
answered
May 26, 2020

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

Harsh Gujalwar
answered
May 27, 2020

Set of smallest whole no. is zero i.e not empty while others are

Aadarsh Shriniwas
answered
Jun 15, 2020

D because 0 is the smallest whole number .

So the set will not be empty .

So the set will not be empty .

Deepti Mahajan
answered
Jun 15, 2020

Smallest whole number is 0

that means this set has 1 element so this is not empty set

that means this set has 1 element so this is not empty set

Harsh Verma
answered
2 weeks ago

The set is-. 0, 1, 2,..... which is a finite set and not a null set....

Preeti Shukla
answered
4 weeks ago

Here option D is correct because in this option it is said that set of smallest whole number which is never be a empty set that is 0 is the smallest whole number. So,{0} is the required set which is not empty .

THANKYOU

THANKYOU

Damini Tijare
answered
May 12, 2020

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
May 12, 2020

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

Mahammad Shaikh
answered
May 07, 2020

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

Aparna Cshaiva
answered
Jun 08, 2020

Because set if smallest whole number is (0). therefore a number exist in this set, it is not a void set

Isha Mishra
answered
May 23, 2020

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
May 26, 2020

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.

Aluru Pragna
answered
Jun 29, 2020

A) {x: x is a multiple of 7 , x<7,x belongs="" to="">

there is no such that number exists because it is said that x is multiple of 7 and x<7 and="" that="" x="" should="" be="" a="" natural="" number="">

so it is an empty set

b)set of common points of two parallel lines in a plane

the two parallel lines does not intersects at any point

so it is an empty set

c){x :6+2x > 5x+3 ,x belongs to N}

6+2x > 5x+3 = 3 > 3x = 1>x = x<1>

there is such that number exists because x is a natural number . Natural numbers starts from 1 to infinity. But in the expression x<1. so="" there="" is="" no="" such="" that="">

so it is an empty set

d)set of smallest whole number

if we take 5 as an whole number. the smallest whole numbers less than 5 are 0,1,2,3,4

so it is not an empty set

so answer for this question is (d) option

there is no such that number exists because it is said that x is multiple of 7 and x<7 and="" that="" x="" should="" be="" a="" natural="" number="">

so it is an empty set

b)set of common points of two parallel lines in a plane

the two parallel lines does not intersects at any point

so it is an empty set

c){x :6+2x > 5x+3 ,x belongs to N}

6+2x > 5x+3 = 3 > 3x = 1>x = x<1>

there is such that number exists because x is a natural number . Natural numbers starts from 1 to infinity. But in the expression x<1. so="" there="" is="" no="" such="" that="">

so it is an empty set

d)set of smallest whole number

if we take 5 as an whole number. the smallest whole numbers less than 5 are 0,1,2,3,4

so it is not an empty set

so answer for this question is (d) option

Ravindra Kumar Yadav
answered
Jun 28, 2020

A aur c to dekh ke bata sakte aur c ko solve karne ke bad ans nahi aa raha main to d ko he karuga waise option reject kare to a aur b ho sakte aur c ko check karlo

Mukul Bhatia
answered
3 weeks ago

D is the correct answer because the set of smallest whole no. can be written as {0} which is not a null set. Rest of the followings are all examples of null set

Bibhabasu Dutta
answered
2 weeks ago

Here, D = Set of smallest whole number.

Since we know zero is the smallest whole number, then D={0} So D is not an empty set, hence it is the correct answer.

Since we know zero is the smallest whole number, then D={0} So D is not an empty set, hence it is the correct answer.

Pavan Kishore
answered
yesterday

Set of smallest whole number contains {0},so it is not an empty set

Aaradhaya Singh
answered
Jun 07, 2020

Yes i can explain

as a set of smallest whole number is 0 hence it is an empty

set.

as a set of smallest whole number is 0 hence it is an empty

set.