मराठी

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:

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प्रश्न

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"}
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उत्तर

 

(i) {APLE} (vi) {x : x is a letter of the word APPLE}
(ii) {5, −5} (v) x : x2 − 25 = 0}
(iii) {0} (i) {x : x + 5 = 5, x ∈ Z}
(iv) {1, 2, 5, 10} (iv) {x : x is a natural number and a divisor of 10}
(v) {AHJRSTN} (iii) {x : x is a letter of the word RAJASTHAN}
(vi) {2, 5} (ii) {x : x is a prime natural number and a divisor of 10}
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पाठ 1: Sets - Exercise 1.02 [पृष्ठ ७]

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आर.डी. शर्मा Mathematics [English] Class 11
पाठ 1 Sets
Exercise 1.02 | Q 4 | पृष्ठ ७

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संबंधित प्रश्‍न

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

The collection of all even integers.


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

The collection of questions in this Chapter.


Write the following set in roster form:

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


Write the following set in roster form:

C = {x : x is a two-digit natural number such that the sum of its digits is 8}


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:

{5, 25, 125, 625}


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:  

 0 ...... A


Describe the following sets in Roster form: 

 {x ∈ R : x > x}.


Describe the following sets in set-builder form: 

E = {0}


List all the elements of the following set:

F = {x : x is a letter of the word "MISSISSIPPI"}


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


Write the set \[\left\{ \frac{1}{2}, \frac{2}{5}, \frac{3}{10}, \frac{4}{17}, \frac{5}{26}, \frac{6}{37}, \frac{7}{50} \right\}\]  in the set-builder form.


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 = {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 statement are false and why? 

\[a \in A\]


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: 

\[1 \in A\] 


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

\[\left\{ 1, 2, 3 \right\} \subset A\] 

 


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

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


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


Describe the following set in Roster form

C = {x/x = 2n + 1, n ∈ N}


Describe the following set in Set-Builder form

{0, –1, 2, –3, 4, –5, 6, ...}


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


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Write the following interval in Set-Builder form:

[6, 12]


Answer the following:

In a survey of 425 students in a school, it was found that 115 drink apple juice, 160 drink orange juice, and 80 drink both apple as well as orange juice. How many drinks neither apple juice nor orange juice?


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


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

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


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 and Sanskrit but not English


If sets A and B are defined as A = `{(x, y) | y = 1/x, 0 ≠ x ∈ "R"}` B = {(x, y) | y = – x, x ∈ R}, then ______.


State True or False for the following statement.

Let sets R and T be defined as
R = {x ∈ Z | x is divisible by 2}
T = {x ∈ Z | x is divisible by 6}. Then T ⊂ R


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