English

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

Advertisements
Advertisements

Question

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

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

Solution

True

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - Exercise 1.04 [Page 17]

APPEARS IN

RD Sharma Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.04 | Q 7.4 | Page 17

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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

The collection of ten most talented writers of India.


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}


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: 

 A collection of novels written by Munshi Prem Chand.


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: 

 The set of all letters in the word 'Better'.


Describe the following sets in set-builder form: 

{2, 4, 6, 8 .....}


List all the elements of the following set:

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


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.

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


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 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?

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


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\[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\] 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? \[\left\{ 1 \right\} \in A\]


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

{1, {1}}, 


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


Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, = {2, 4, 6, 8} and C = {3, 4, 5, 6}.

Find \[\left( A \cap C \right)'\]


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

10 _____ A


Describe the following set in Roster form

C = {x/x = 2n + 1, n ∈ N}


In a class of 200 students who appeared in certain examinations, 35 students failed in CET, 40 in NEET and 40 in JEE, 20 failed in CET and NEET, 17 in NEET and JEE, 15 in CET and JEE, and 5 failed in all three examinations. Find how many students, did not fail in any examination.


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)


A college awarded 38 medals in volleyball, 15 in football, and 20 in basketball. The medals awarded to a total of 58 players and only 3 players got medals in all three sports. How many received medals in exactly two of the three sports?


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:

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?


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:
B = {x | x2 = x, x ∈ R}


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


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


In a class of 60 students, 25 students play cricket and 20 students play tennis, and 10 students play both the games. Find the number of students who play neither?


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 only


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


In a town of 840 persons, 450 persons read Hindi, 300 read English and 200 read both. Then the number of persons who read neither is ______.


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×