मराठी

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 - Mathematics

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प्रश्न

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

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उत्तर

12 ∉ A

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - Exercise 1.01 [पृष्ठ २]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 1 Sets
Exercise 1.01 | Q 3.3 | पृष्ठ २

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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

A team of eleven best-cricket batsmen of the world.


Write the following set in the set-builder form:

{5, 25, 125, 625}


List all the elements of the following set:

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


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.


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: 

 9 ...... 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 : x is a prime number, 10 < x < 20};


Describe the following sets in set-builder form: 

E = {0}


List all the elements of the following sets: 

\[A = \left\{ x: x^2 \leq 10, x \in Z \right\}\] 


List all the elements of the following set: 

\[C = \left\{ x: x \text{ is an integer }, - \frac{1}{2} < x < \frac{9}{2} \right\}\]


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"}

Write the set of all positive integers whose cube is odd.


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

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


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

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


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

\[\left\{ a, b, e \right\} \in A\] 


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? 

\[\left\{ \phi \right\} \in A\]

 


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

 


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

 {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},


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

4 _____ A


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


Write the following interval in Set-Builder form

[– 3, 4)


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}


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

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


Write the following sets in the roaster form:

F = {x | x4 – 5x2 + 6 = 0, x ∈ R}


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

3 ∉ {x | x4 – 5x3 + 2x2 – 112x + 6 = 0}


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


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


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