English

Write the following set in the set-builder form: {5, 25, 125, 625}

Advertisements
Advertisements

Question

Write the following set in the set-builder form:

{5, 25, 125, 625}

Sum
Advertisements

Solution

{5, 25, 125, 625}

It can be seen that 5 = 51, 25 = 52, 125 = 53, and 625 = 54.

∴ {5, 25, 125, 625} = {x : x = 5n, n ∈ N and 1 ≤ n ≤ 4}

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - EXERCISE 1.1 [Page 5]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 1 Sets
EXERCISE 1.1 | Q 4. (iii) | Page 5

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Identify whether the following is set or not? Justify your answer.

The collection of all boys in your class.


Identify whether the following is set or not? Justify your answer.

The collection of all even integers.


Identify whether the following is set or not? Justify your answer.

The collection of questions in this Chapter.


Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:

5 _____ A


Write the following set in roster form:

A = {x : x is an integer and –3 ≤ x < 7}


Write the following set in roster form:

F = The set of all letters in the word BETTER


Write the following set in the set-builder form:

{2, 4, 6, …}


List all the elements of the following set:

D = {x : x is a letter in the word “LOYAL”}


Which of the following collection is set? Justify your answer: 

The collection of ten most talented writers of India.


If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space: 

12 ...... A


Describe the following sets in Roster form: 

{x ∈ N : x is a prime number, 10 < x < 20};


Describe the following set in Roster form: 

The set of all letters in the word 'Trigonometry'


Describe the following sets in Roster form: 

 The set of all letters in the word 'Better'.


Describe the following sets in set-builder form: 

A = {1, 2, 3, 4, 5, 6}


Describe the following sets in set-builder form: 

 D = {10, 11, 12, 13, 14, 15}; 


List all the elements of the following set:

F = {x : x is a letter of the word "MISSISSIPPI"}


Which of the following statement are correct?
Write a correct form of each of the incorrect statement.  

\[\left\{ b, c \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\] 


Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\]Which of the following are true? \[\left\{ \left\{ 2 \right\}, \left\{ 1 \right\} \right\} \not\subset A\] 


Write down all possible subsets of each of the following set:

{1, {1}}, 


Write down all possible proper subsets each of the following set:  

{1, 2, 3}


Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:

2 _____ A


Describe the following set in Roster form

B = `{x//x  "is an integer", -3/2 < x < 9/2}`


If A = {x/6x2 + x – 15 = 0}, B = {x/2x2 – 5x – 3 = 0}, C = {x/2x2 – x – 3 = 0} then find (A ∪ B ∪ C).


In a class of 200 students who appeared in certain examinations, 35 students failed in CET, 40 in NEET and 40 in JEE, 20 failed in CET and NEET, 17 in NEET and JEE, 15 in CET and JEE, and 5 failed in all three examinations. Find how many students, did not fail in any examination.


There are 260 persons with skin disorders. If 150 had been exposed to chemical A, 74 to chemical B, and 36 to both chemicals A and B, find the number of persons exposed to Chemical B but not Chemical A


Write the following interval in Set-Builder form

`(6, ∞)`


Answer the following:

Write down the following set in set-builder form

{a, e, i, o, u)


Answer the following:

In a survey of 425 students in a school, it was found that 115 drink apple juice, 160 drink orange juice, and 80 drink both apple as well as orange juice. How many drinks neither apple juice nor orange juice?


State which of the following statement are true and which are false. Justify your answer.

7,747 ∈ {t | t is a multiple of 37}


Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by n + 1


Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n is greater than 4


Write the following sets in the roaster form:
D = {t | t3 = t, t ∈ R}


State which of the following statement is true and which is false. Justify your answer.

3 ∉ {x | x4 – 5x3 + 2x2 – 112x + 6 = 0}


In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study English and Sanskrit but not French


In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study French and Sanskrit but not English


In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study none of the three languages


The set {x ∈ R : 1 ≤ x < 2} can be written as ______.


If A and B are any two sets, then A – B is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×