हिंदी

Let a = {A, B, {C, D}, E}. Which of the Following Statement Are False and Why? { C , D } ⊂ a - Mathematics

Advertisements
Advertisements

प्रश्न

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

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

Advertisements

उत्तर

A = {ab, {cd}, e

 False
The correct statement would be\[{\left\{ c, d \right\}} \subset A\]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets - Exercise 1.04 [पृष्ठ १७]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.04 | Q 6.01 | पृष्ठ १७

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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

The collection of ten most talented writers of India.


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

A collection of novels written by the writer Munshi Prem Chand.


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

A collection of most dangerous animals 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”}


List all the elements of the following set:

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


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 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.


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


Describe the following sets in Roster form: 

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


Describe the following sets in Roster form: 

 {x ∈ N : x = 2nn ∈ N};


List all the elements of the following sets: 

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


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

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


Which of the following statemen 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.

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


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?

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


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

\[\phi \in A\]


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

\[\left\{ 6, 7, 8 \right\} \in A\] 


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

\[\phi \in A\] 


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


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

{abc}, 


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

{1, {1}}, 


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

2 _____ A


Describe the following set in Set-Builder form

{0, ±1, ±2, ±3}


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


In a hostel, 25 students take tea, 20 students take coffee, 15 students take milk, 10 students take bot tea and coffee, 8 students take both milk and coffee. None of them take tea and milk both and everyone takes at least one beverage, find the total number of students in the hostel.


Write the following interval in Set-Builder form

`(6, ∞)`


Write the following interval in Set-Builder form

[– 3, 4)


Select the correct answer from given alternative.

In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, persons travelling by car or bus are


Answer the following:

Write down the following set in set-builder form

{a, e, i, o, u)


Write the following sets in the roaster from:
B = {x | x2 = x, x ∈ R}


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

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


Let R be set of points inside a rectangle of sides a and b (a, b > 1) with two sides along the positive direction of x-axis and y-axis. Then ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×