हिंदी

Write the following sets in the roaster form.A = {x | x is a positive integer less than 10 and 2x – 1 is an odd number}

Advertisements
Advertisements

प्रश्न

Write the following sets in the roaster form.
A = {x | x is a positive integer less than 10 and 2x – 1 is an odd number}

योग
Advertisements

उत्तर

2x – 1 is always an odd number for all positive integral values of x.

In particular, 2x – 1 is an odd number for x = 1, 2, ..., 9.

Thus, A = {1, 2, 3, 4, 5, 6, 7, 8, 9}.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets - Solved Examples [पृष्ठ ४]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 1 Sets
Solved Examples | Q 1.(i) | पृष्ठ ४

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.

The collection of questions in this Chapter.


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

5 _____ A


Write the following set in the set-builder form:

{3, 6, 9, 12}


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.


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: 

C = {0, 3, 6, 9, 12, ...} 


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 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.

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


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

\[\left\{ c, d \right\} \in A\] 


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: 

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

 


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

\[\left\{ \phi \right\} \in A\]

 


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

{1, {1}}, 


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

{1, 2, 3}


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

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


Describe the following set in Set-Builder form

{0, ±1, ±2, ±3}


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.


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?


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 


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:
D = {t | t3 = t, t ∈ R}


Write the following sets in the roaster form:

F = {x | x4 – 5x2 + 6 = 0, x ∈ R}


Determine whether the following statement is true or false. Justify your answer.

For all sets A, B, and C, A – (B – C) = (A – B) – C


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 Sanskrit 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 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


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 at least one of the three languages


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×