मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Write the following interval in Set-Builder form (6,∞)

Advertisements
Advertisements

प्रश्न

Write the following interval in Set-Builder form

`(6, ∞)`

बेरीज
Advertisements

उत्तर

`(6, ∞)` = {x/x ∈ R, x > 6}

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Sets and Relations - Exercise 5.1 [पृष्ठ ९८]

APPEARS IN

संबंधित प्रश्‍न

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

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


List all the elements of the following set:

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


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

 The collection of all girls in your class.


Which of the following collection is set? Justify your answer: 

The collection of ten most talented writers of India.


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: 

 9 ...... A


Describe the following sets in Roster form: 

 {x ∈ R : x > x}.


Describe the following sets in Roster form: 

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


List all the elements of the following sets: 

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


Write the set of all vowels in the English alphabet which precede q.


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?

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


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\[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\] 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? \[\left\{ \left\{ 2 \right\}, \left\{ 1 \right\} \right\} \not\subset A\] 


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

{1}. 


Prove that: 

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


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

A = {x/x is a letter of the word 'MOVEMENT'}


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.


There are 260 persons with skin disorders. If 150 had been exposed to the chemical A, 74 to the chemical B, and 36 to both chemicals A and B, find the number of persons exposed to Chemical A or Chemical B


Write the following interval in Set-Builder form

`(-∞, 5]`


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:

Write down the following set in set-builder form

{10, 20, 30, 40, 50}


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}


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

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


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}


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 English only


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 ______.


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


Let S = {x | x is a positive multiple of 3 less than 100}
P = {x | x is a prime number less than 20}. Then n(S) + n(P) is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×