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 months of a year beginning with the letter J.


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

The collection of ten most talented writers of India.


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

The collection of all natural numbers less than 100.


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

A collection of novels written by the writer Munshi Prem Chand.


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

The collection of questions in this Chapter.


List all the elements of the following set:

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


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

 The collection of all girls in your class.


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

 A collection of novels written by Munshi Prem Chand.


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 


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


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: 

−2 ...... A


Describe the following sets in Roster form: 

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


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

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


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

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


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

\[1 \in A\] 


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

\[\phi \in A\] 


Let\[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\]Which of the following are true? 


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

{1}. 


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


Prove that: 

\[A \subseteq B, B \subseteq C \text{ and } C \subseteq A \Rightarrow A = C .\] 


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

10 _____ A


Describe the following set in Set-Builder form

`{1/2, 2/5, 3/10, 4/17, 5/26, 6/37, 7/50}`


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, 12]


Answer the following:

In a school there are 20 teachers who teach Mathematics or Physics. Of these, 12 teach Mathematics and 4 teach both Physics and Mathematics. How many teachers teach Physics?


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:
E = `{w | (w - 2)/(w + 3) = 3, w ∈ R}`


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

496 ∉ {y | the sum of all the positive factors of y is 2y}.


In a class of 60 students, 25 students play cricket and 20 students play tennis, and 10 students play both the games. Find the number of students who play neither?


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 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 Sanskrit only


Let F1 be the set of parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane. Then F1 may be equal to ______.


Let S = set of points inside the square, T = the set of points inside the triangle and C = the set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then ______.


Let R be set of points inside a rectangle of sides a and b (a, b > 1) with two sides along the positive direction of x-axis and y-axis. Then ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×