हिंदी

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

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

Write the following set in roster form:

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


Write the following set in roster form:

E = The set of all letters in the word TRIGONOMETRY


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 all question in this chapter.


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

The collection of prime integers.


Describe the following sets in set-builder form: 

 D = {10, 11, 12, 13, 14, 15}; 


Describe the following sets in set-builder form: 

E = {0}


Describe the following sets in set-builder form: 

{2, 4, 6, 8 .....}


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 statements.  

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


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

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


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 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: 

\[\left\{ 6, 7, 8 \right\} \in A\] 


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


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


Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, = {2, 4, 6, 8} and C = {3, 4, 5, 6}.

Find \[\left( A \cap C \right)'\]


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

0 ____ 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)


From amongst 2000 literate individuals of a town, 70% read Marathi newspapers, 50% read English newspapers and 32.5% read both Marathi and English newspapers. Find the number of individuals who read at least one of the newspapers


From amongst 2000 literate individuals of a town, 70% read Marathi newspapers, 50% read English newspapers and 32.5% read both Marathi and English newspapers. Find the number of individuals who read Only one of the newspapers


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.


Write the following interval in Set-Builder form

`(6, ∞)`


Write the following interval in Set-Builder form

[– 3, 4)


Answer the following:

Write down the following set in set-builder form

{10, 20, 30, 40, 50}


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?


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}


Write the following sets in the roaster form.
C = {x : x2 + 7x – 8 = 0, x ∈ R}


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


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

35 ∈ {x | x has exactly four positive factors}.


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


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


In a town of 840 persons, 450 persons read Hindi, 300 read English and 200 read both. Then the number of persons who read neither is ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×