मराठी

Let a = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine Which of the Following is True Or False: { 6 , 7 , 8 } ∈ a - Mathematics

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प्रश्न

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

\[\left\{ 6, 7, 8 \right\} \in A\] 

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उत्तर

True

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पाठ 1: Sets - Exercise 1.04 [पृष्ठ १७]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 1 Sets
Exercise 1.04 | Q 7.3 | पृष्ठ १७

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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:

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


Write the following set in the set-builder form:

{5, 25, 125, 625}


Write the following set in the set-builder form:

{1, 4, 9, ....., 100}


List all the elements of the following set:

E = {x : x is a month of a year not having 31 days}


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 difficult topics in mathematics.

 


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 Roster form: 

{x : x is a letter before e in the English alphabet}


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{x ∈ N : x2 < 25}; 


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


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(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 vowels in the English alphabet which precede q.


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

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


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

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


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

\[\left\{ \left\{ 4, 5 \right\} \right\} \subset A\] 


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?\[\left\{ \left\{ \phi \right\} \right\} \subset A\]

 


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

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


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4 _____ A


Describe the following set in Set-Builder form

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Describe the following set in Set-Builder form

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Describe the following set in Set-Builder form

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Answer the following:

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In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
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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 ______.


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