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

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प्रश्न

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

\[\phi \in A\] 

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उत्तर

True 

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अध्याय 1: Sets - Exercise 1.04 [पृष्ठ १७]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.04 | Q 7.6 | पृष्ठ १७

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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The collection of all even integers.


Write the following set in roster form:

E = The set of all letters in the word TRIGONOMETRY


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{3, 6, 9, 12}


Write the following set in the set-builder form:

{2, 4, 8, 16, 32}


Write the following set in the set-builder form:

{5, 25, 125, 625}


List all the elements of the following set:

A = {x : x is an odd natural number}


List all the elements of the following set:

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


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 : x2 < 25}; 


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


Describe the following sets in set-builder form: 

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Describe the following sets in set-builder form: 

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Write a correct form of each of the incorrect statement.

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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: 

\[\left\{ 6, 7, 8 \right\} \in A\] 


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\[\phi \in A\] 


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

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

2 _____ A


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Write the following interval in Set-Builder form:

[6, 12]


Write the following interval in Set-Builder form

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Write the following interval in Set-Builder form

[– 3, 4)


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?


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

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Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by n2 


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Write the following sets in the roaster from:
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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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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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