हिंदी

Describe the following set in Set-Builder form {0} - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Describe the following set in Set-Builder form

{0}

योग
Advertisements

उत्तर

Let A = {0}

0 is a whole number but it is not a natural number.

∴ A = {x / x ∈ W, x ∉ N}

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Sets and Relations - Exercise 5.1 [पृष्ठ ९७]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 5 Sets and Relations
Exercise 5.1 | Q 2. (i) | पृष्ठ ९७

संबंधित प्रश्न

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

The collection of ten most talented writers of India.


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:

E = The set of all letters in the word TRIGONOMETRY


Write the following set in the set-builder form:

{3, 6, 9, 12}


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:

C = {x : x is an integer, x2 ≤ 4}


List all the elements of the following set:

F = {x : x is a consonant in the English alphabet which precedes k}.


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

(i) {1, 2, 3, 6} (a) {x : x is a prime number and a divisor of 6}
(ii) {2, 3} (b) {x : x is an odd natural number less than 10}
(iii) {M, A, T, H, E, I, C, S} (c) {x : x is natural number and divisor of 6}
(iv) {1, 3, 5, 7, 9} (d) {x : x is a letter of the word MATHEMATICS}

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

 The collection of all girls in your class.


Describe the following sets in Roster form: 

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


Describe the following sets in Roster form: 

 {x ∈ R : x > x}.


Describe the following sets in set-builder form: 

C = {0, 3, 6, 9, 12, ...} 


List all the elements of the following set: 

D = {x : x is a vowel in the word "EQUATION"}


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

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


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

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


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


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


Let \[\left\{ \left\{ 2 \right\}, \left\{ 1 \right\} \right\} \not\subset A\] 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: 

 {0, 1}, 


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},


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

0 ____ A


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


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]


A college awarded 38 medals in volleyball, 15 in football, and 20 in basketball. The medals awarded to a total of 58 players and only 3 players got medals in all three sports. How many received medals in exactly two of the three sports?


Answer the following:

Write down the following set in set-builder form

{10, 20, 30, 40, 50}


Answer the following:

Write down the following set in set-builder form

{Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}


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?


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

7,747 ∈ {t | t is a multiple of 37}


Write the following sets in the roaster from:
A = {x : x ∈ R, 2x + 11 = 15}


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×