English

Identify whether the following is set or not? Justify your answer. The collection of all months of a year beginning with the letter J.

Advertisements
Advertisements

Question

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

The collection of all months of a year beginning with the letter J.

One Line Answer
Advertisements

Solution

The collection of all months of a year beginning with J is (January, June, and July), which is well defined, and hence, it forms a set. Hence, this collection is a set.

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - Exercise 1.01 [Page 2]

APPEARS IN

R.D. Sharma Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.01 | Q 2.06 | Page 2
NCERT Mathematics [English] Class 11
Chapter 1 Sets
EXERCISE 1.1 | Q 1. (i) | Page 4

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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.

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 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 roster form:

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


Write the following set in the set-builder form:

{5, 25, 125, 625}


List all the elements of the following set:

A = {x : x is an odd natural number}


List all the elements of the following set:

B = `{x : x  "is an integer", -1/2 < x < 9/2}`


List all the elements of the following set:

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


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

 The collection of difficult topics in mathematics.

 


Describe the following sets in Roster form: 

 {x ∈ N : x = 2nn ∈ N};


Describe the following sets in Roster form: 

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


Describe the following sets in set-builder form: 

E = {0}


Describe the following sets in set-builder form: 

{1, 4, 9, 16, ..., 100} 


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


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

\[\phi \in A\]


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? \[2 \subset A\]


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

 {0, 1}, 


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

0 ____ A


Describe the following set in Set-Builder form

{0}


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)


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.


There are 260 persons with skin disorders. If 150 had been exposed to chemical A, 74 to chemical B, and 36 to both chemicals A and B, find the number of persons exposed to Chemical A but not Chemical B


Write the following interval in Set-Builder form

`(-∞, 5]`


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


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}


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


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}


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


Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English and Mathematics, 7 in Mathematics and Science; 4 in English and Science; 4 in all the three. Find how many passed in English and Mathematics but not in Science.


Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English and Mathematics, 7 in Mathematics and Science; 4 in English and Science; 4 in all the three. Find how many passed in more than one subject 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 none of the three languages


Let F1 be the set of parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane. Then F1 may be equal to ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×