English

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

Sum
Advertisements

Solution

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

{(n – 1) | n ∈ X} = {0, 1, 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.(iv) | Page 13

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

{a, e} ⊂ {x : x is a vowel in the English alphabet}


{a, b} ⊄ {b, c, a}


Write down all the subsets of the following set:

{a}


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}


Write the given intervals in set-builder form:

(–3, 0)


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 A ⊂ B and B ∈ C, then A ∈ C


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

If A ⊂ B and B ⊂ C, then A ⊂ C


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

If A ⊄ B and B ⊄ C, then A ⊄ C


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 = {x ∈ C : x2 = 1} and B = {x ∈ C : x4 = 1}, then write A − B and B − A


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


The number of subsets of a set containing n elements is 


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


In set-builder method the null set is represented by


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

{x : x is a student of Class XI of your school} ____ {x : x student of your school}


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

{x : x is an equilateral triangle in a plane} _____ {x : x is a triangle in the same plane}


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, 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


State true or false for the following statement given below:

Q ∩ R = Q, where Q is the set of rational numbers and R is the set of real numbers.


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 ______.


If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then ______.


State True or False for the following statement.

If A is any set, then A ⊂ A.


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.


State True or False for the following statement.

Q ∪ Z = Q, where Q is the set of rational numbers and Z is the set of integers.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×