हिंदी

Write Down All Possible Proper Subsets Each of the Following Set: {1, 2, 3}

Advertisements
Advertisements

प्रश्न

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

{1, 2, 3}

Advertisements

उत्तर

 {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}

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

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.04 | Q 10.2 | पृष्ठ १७

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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

A team of eleven best-cricket batsmen of the world.


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

The collection of all boys in your class.


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:

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


Write the following set in the set-builder form:

{2, 4, 6, …}


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.


Which of the following collection are sets? Justify your answer: 

The collection of all question in this chapter.


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 ∈ N : x2 < 25}; 


Describe the following sets in Roster form: 

{x ∈ N : x is a prime number, 10 < x < 20};


Describe the following sets in Roster form: 

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


Describe the following sets in set-builder form: 

 D = {10, 11, 12, 13, 14, 15}; 


Describe the following sets in set-builder form: 

{1, 4, 9, 16, ..., 100} 


List all the elements of the following set: 

\[C = \left\{ x: x \text{ is an integer }, - \frac{1}{2} < x < \frac{9}{2} \right\}\]


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 statements.  

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


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

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


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


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


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

 {a


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

{abc}, 


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


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


Prove that: 

\[A \subseteq B, B \subseteq C \text{ and } C \subseteq A \Rightarrow A = C .\] 


Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that \[\left( A \cap B \right)' = A' \cup B'\] 


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

4 _____ A


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, ...}


If A = {x/6x2 + x – 15 = 0}, B = {x/2x2 – 5x – 3 = 0}, C = {x/2x2 – x – 3 = 0} then find (A ∪ B ∪ C).


If A = {x/6x2 + x – 15 = 0}, B = {x/2x2 – 5x – 3 = 0}, C = {x/2x2 – x – 3 = 0} then find (A ∩ B ∩ C)


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.


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 sets in the roaster form:
D = {t | t3 = t, t ∈ R}


Write the following sets in the roaster form:

F = {x | x4 – 5x2 + 6 = 0, 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}.


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 English but not Sanskrit


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×