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: - Mathematics

Advertisements
Advertisements

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"}

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}
shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - Exercise 1.02 [पृष्ठ ७]

APPEARS IN

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

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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

The collection of all boys in your class.


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

The collection of all natural numbers less than 100.


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

The collection of all even integers.


Write the following set in roster form:

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


Write the following set in roster form:

D = {x : x is a prime number which is divisor of 60}


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}


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.


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 


Describe the following sets in Roster form: 

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


Describe the following sets in set-builder form: 

{5, 25, 125 625} 


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


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

\[a \in {\left\{ a \right\}, b}\]


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 = {{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: 

\[\phi \in A\] 


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


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

 


Let \[\left\{ \left\{ 2 \right\}, \left\{ 1 \right\} \right\} \not\subset A\] Which of the following are true? \[\left\{ \left\{ 2 \right\}, \left\{ 1 \right\} \right\} \not\subset A\]


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


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


Describe the following set in Roster form

B = `{x//x  "is an integer", -3/2 < x < 9/2}`


Describe the following set in Set-Builder form

{0}


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 neither Marathi and English newspaper


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


Write the following interval in Set-Builder form

[– 3, 4)


Answer the following:

Write down the following set in set-builder form

{Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}


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


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 


Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n + 5 = 8


Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n is greater than 4


Write the following sets in the roaster from:
C = {x | x is a positive factor of a prime number p}


Write the following sets in the roaster form:
E = `{w | (w - 2)/(w + 3) = 3, w ∈ R}`


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

496 ∉ {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 English and Sanskrit but not French


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 ______.


If A and B are any two sets, then A – B is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×