English

Describe the following set in Set-Builder form {0, ±1, ±2, ±3} - Mathematics and Statistics

Advertisements
Advertisements

Question

Describe the following set in Set-Builder form

{0, ±1, ±2, ±3}

Sum
Advertisements

Solution

Let B = {0, ±1, ±2, ±3}

B is the set of integers from – 3 to 3.

∴ B can be written in the set-builder form as:

B = {x/x ∈ Z, – 3 ≤ x ≤ 3}

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Sets and Relations - Exercise 5.1 [Page 97]

APPEARS IN

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 all natural numbers less than 100.


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.


Write the following set in the set-builder form:

{3, 6, 9, 12}


Write the following set in the set-builder form:

{2, 4, 6, …}


List all the elements of the following set:

B = `{x : x  "is an integer", -1/2 < x < 9/2}`


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.


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

The collection of prime integers.


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: 

−2 ...... A


Describe the following sets in Roster form: 

{x ∈ N : x2 < 25}; 


Describe the following sets in Roster form: 

 {x ∈ R : x > x}.


Describe the following set in Roster form: 

The set of all letters in the word 'Trigonometry'


Describe the following sets in set-builder form: 

A = {1, 2, 3, 4, 5, 6}


Describe the following sets in set-builder form:

B={1,1/2 ,1/3, 1/4,1/5,...........};


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

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


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

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


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

\[\left\{ c, d \right\} \subset A\]


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

\[\left\{ a, b, e \right\} \in A\] 


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},


If A is any set, prove that: \[A \subseteq \phi \Leftrightarrow A = \phi .\] 


Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that \[\left( A \cap B \right)' = A' \cup B'\] 


Describe the following set in Roster form

A = {x/x is a letter of the word 'MOVEMENT'}


Describe the following set in Set-Builder form

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


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


In a hostel, 25 students take tea, 20 students take coffee, 15 students take milk, 10 students take bot tea and coffee, 8 students take both milk and coffee. None of them take tea and milk both and everyone takes at least one beverage, find the total number of students in the hostel.


Answer the following:

Write down the following set in set-builder form

{a, e, i, o, u)


Write the following sets in the roaster form.
A = {x | x is a positive integer less than 10 and 2x – 1 is an odd number}


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 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 at least one of the three languages


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×