English

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

Advertisements
Advertisements

Question

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

Sum

Solution

We have, N= {1, 2, 3, 4,…, 100}

subset of N whose elements are even numbers = {2, 4, 6, 8, …, 100}

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 7.(i) | Page 13

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

{1, 2, 3} ⊂ {1, 3, 5}


{a} ∈ (a, b, c)


Write down all the subsets of the following set:

{a}


Write the following as intervals: {x : x ∈ R, 0 ≤ x < 7}


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


Write the given intervals in set-builder form:

(–3, 0)


Write the given intervals in set-builder form:

[6, 12]


Write the following interval in set-builder form:

[–23, 5)


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


Write the number of elements in the power set of null set. 


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


For any two sets A and B,\[A \cap \left( A \cup B \right) =\]


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

{x : x is a triangle in a plane} _____ {x : x is a rectangle in the plane}


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?

{1, 2, 5} ∈ A


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

{1, 2, 3} ⊂ 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:

{1, 2, 3}


Write down all the subsets of the following set:

Φ


Given that N = {1, 2, 3, ..., 100}, then write the subset A of N, whose element are odd numbers.


Given that N = {1, 2, 3, ..., 100}, then write the subset B of N, whose element are represented by x + 2, where x ∈ N.


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


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


Suppose A1, A2, ..., A30 are thirty sets each having 5 elements and B1, B2, ..., Bn are n sets each with 3 elements, let \[\bigcup\limits_{i=1}^{30} A_{i} = \bigcup\limits_{j=1}^{n} B_{j}\] = and each element of S belongs to exactly 10 of the Ai’s and exactly 9 of the B,’S. then n is equal to ______.


State True or False for the following statement.

Given that M = {1, 2, 3, 4, 5, 6, 7, 8, 9} and if B = {1, 2, 3, 4, 5, 6, 7, 8, 9}, then B ⊄ M.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×