English

Describe the Following Sets in Set-builder Form: C = {0, 3, 6, 9, 12, ...}

Advertisements
Advertisements

Question

Describe the following sets in set-builder form: 

C = {0, 3, 6, 9, 12, ...} 

Advertisements

Solution

Set-builder form:
To describe a set, a variable x (each element of the set) is written inside braces. Then, after putting a colon, the common property P(x) possessed by each element of the set is written within braces. 

\[ {x: x = 3n, n \in Z^+}\] 

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - Exercise 1.02 [Page 6]

APPEARS IN

R.D. Sharma Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.02 | Q 2.3 | Page 6

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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.

A collection of most dangerous animals of the world.


Write the following set in the set-builder form:

{2, 4, 8, 16, 32}


Write the following set in the set-builder form:

{2, 4, 6, …}


Which of the following collection are sets? Justify your answer:

 The collection of all girls in your class.


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

The collection of ten most talented writers of India.


Which of the following collection are sets? Justify your answer: 

 A collection of novels written by Munshi Prem Chand.


Which of the following collection are sets? Justify your answer: 

The collection of all question in this chapter.


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: 

−4 ...... A 


Describe the following sets in Roster form: 

{x ∈ N : x2 < 25}; 


Describe the following sets in Roster form: 

 {x ∈ N : x = 2nn ∈ N};


Describe the following sets in Roster form: 

{x : x is a prime number which is a divisor of 60} 


Describe the following sets in set-builder form: 

A = {1, 2, 3, 4, 5, 6}


Describe the following sets in set-builder form: 

E = {0}


List all the elements of the following set:

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


Match each of the sets on the left in the roster form with the same set on the right described in the set-builder form: 

(i) {APLE} (i) x : x + 5 = 5, x ∈ Z
(ii) {5, −5} (ii) {x : x is a prime natural number and a divisor of 10}
(iii) {0} (iii) {x : x is a letter of the word "RAJASTHAN"}
(iv) {1, 2, 5, 10,} (iv) {xx is a natural number and divisor of 10}
(v) {AHJRSTN} (v) x : x2 − 25 = 0
(vi) {2, 5} (vi) {x : x is a letter of the word "APPLE"}

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

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


Let A = {ab, {cd}, e}. Which of the following statement are false and why? 

\[\phi \in A\]


Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine which of the following is true or false: 

\[\left\{ \left\{ 4, 5 \right\} \right\} \subset A\] 


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

{1, 2, 3}


What is the total number of proper subsets of a set consisting of n elements? 


Describe the following set in Set-Builder form

{0, –1, 2, –3, 4, –5, 6, ...}


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, failed in NEET or JEE entrance


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


There are 260 persons with skin disorders. If 150 had been exposed to the chemical A, 74 to the chemical B, and 36 to both chemicals A and B, find the number of persons exposed to Chemical A or Chemical B


Write the following interval in Set-Builder form

`(6, ∞)`


Select the correct answer from given alternative.

In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, persons travelling by car or bus are


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?


Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n + 5 = 8


Write the following sets in the roaster from:
B = {x | x2 = x, x ∈ R}


If Y = {x | x is a positive factor of the number 2p – 1 (2p – 1), where 2p – 1 is a prime number}.Write Y in the roaster form.


128 ∈ {y | the sum of all the positive factors of y is 2y}


Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English and Mathematics, 7 in Mathematics and Science; 4 in English and Science; 4 in all the three. Find how many passed in Mathematics only


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 only


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


Let S = {x | x is a positive multiple of 3 less than 100}
P = {x | x is a prime number less than 20}. Then n(S) + n(P) is ______.


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


Given A = {0, 1, 2}, B = {x ∈ R | 0 ≤ x ≤ 2}. Then A = B.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×