English

If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n2 - Mathematics

Advertisements
Advertisements

Question

If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by `n/2`

Sum

Solution

Given that: X = {1, 2, 3}

`{n/2 | n ∈ X} = {1/2, 1, 3/2}`

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - Exercise [Page 13]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 11
Chapter 1 Sets
Exercise | Q 8.(iii) | Page 13

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

{a, b} ⊄ {b, c, a}


{1, 2, 3} ⊂ {1, 3, 5}


Write the following as interval:

{x : x ∈ R, – 4 < x ≤ 6}


Write the following as intervals:  {x: x ∈ R, –12 < x < –10}


Write the following as intervals: {x : x ∈ R, 3 ≤ x ≤ 4}


Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If x ∈ A and A ∈ B, then x ∈ B


Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If x ∈ A and A ⊄ B, then x ∈ B


If a set contains n elements, then write the number of elements in its power set. 


Let A = {x : x ∈ Nx is a multiple of 3} and B = {x : x ∈ N and x is a multiple of 5}. Write \[A \cap B\] 


If A and B are two sets such that \[A \subset B\], then write B' − A' in terms of A and B.


If A = |1, 2, 3, 4, 5|, then the number of proper subsets of A is 


Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is an even natural number} _____ {x : x is an integer}


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{3, 4} ∈ A


Let A = { 1, 2, { 3, 4}, 5 }. The following statement is correct or incorrect and why?

1 ⊂ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{1, 2, 5} ⊂ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

Φ ∈ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

Φ ⊂ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{Φ} ⊂ A


Write down all the subsets of the following set:

{a, b}


Write down all the subsets of the following set:

{1, 2, 3}


State true or false for the following statement given below:

Let R and S be the sets defined as follows:
R = {x ∈ Z | x is divisible by 2}
S = {y ∈ Z | y is divisible by 3}
then R ∩ S = φ


Given that N = {1, 2, 3, ... , 100}. Then write the subset of N whose elements are even numbers.


If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n + 6


State True or False for the following statement.

If A is any set, then A ⊂ A.


State True or False for the following statement.

The sets {1, 2, 3, 4} and {3, 4, 5, 6} are equal.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×