मराठी

Write the following set in the set-builder form: {5, 25, 125, 625}

Advertisements
Advertisements

प्रश्न

Write the following set in the set-builder form:

{5, 25, 125, 625}

बेरीज
Advertisements

उत्तर

{5, 25, 125, 625}

It can be seen that 5 = 51, 25 = 52, 125 = 53, and 625 = 54.

∴ {5, 25, 125, 625} = {x : x = 5n, n ∈ N and 1 ≤ n ≤ 4}

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - EXERCISE 1.1 [पृष्ठ ५]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
पाठ 1 Sets
EXERCISE 1.1 | Q 4. (iii) | पृष्ठ ५

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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:

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.

 


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  


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: 

A = {1, 2, 3, 4, 5, 6}


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: 

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


Which of the following statements are correct?
Write a correct form of each of the incorrect statement. 

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


Which of the following statemen are correct?
Write a correct form of each of the incorrect statement.

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


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

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


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

 {0, 1}, 


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? 


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 = {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:

4 _____ A


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

2 _____ A


Describe the following set in Roster form

C = {x/x = 2n + 1, n ∈ N}


Describe the following set in Set-Builder form

{0}


Describe the following set in Set-Builder form

`{1/2, 2/5, 3/10, 4/17, 5/26, 6/37, 7/50}`


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


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

[– 3, 4)


Write the following sets in the roaster form.
C = {x : x2 + 7x – 8 = 0, x ∈ R}


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

37 ∉ {x | x has exactly two positive factors}


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 form:

F = {x | x4 – 5x2 + 6 = 0, x ∈ R}


If Y = {x | x is a positive factor of the number 2p – 1 (2p – 1), where 2p – 1 is a prime number}.Write Y in the roaster form.


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


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 Mathematics 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 French and Sanskrit but not English


Let R be set of points inside a rectangle of sides a and b (a, b > 1) with two sides along the positive direction of x-axis and y-axis. Then ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×