English

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

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 + 6

Sum
Advertisements

Solution

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

{n + 6 | n ∈ X} = {7, 8, 9}

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

APPEARS IN

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

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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

{2, 3, 4} _____ {1, 2, 3, 4, 5}


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


{a} ⊂ {a. b, c}


{a} ∈ (a, b, c)


{x : x is an even natural number less than 6} ⊂ {x : x is a natural number which divides 36}


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

{3, 4} ⊂ A


How many elements has P(A), if A = Φ?


Write the following as interval:

{x : x ∈ R, – 4 < x ≤ 6}


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


Write the given intervals in set-builder form:

(–3, 0)


Write the following interval in set-builder form:

[–23, 5)


Decide, among the following sets, which sets are subsets of one and another:

A = {x : x ∈ R and x satisfy x2 – 8x + 12 = 0},

B = {2, 4, 6}, C = {2, 4, 6, 8, …}, D = {6}.


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


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 x ∉ B, then x ∉ A


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


Let A and B be two sets having 3 and 6 elements respectively. Write the minimum number of elements that \[A \cup B\] 


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


Let A and B be two sets having 4 and 7 elements respectively. Then write the maximum number of elements that \[A \cup B\] can have. 


The number of subsets of a set containing n elements is 


If A = {1, 3, 5, B} and B = {2, 4}, then 


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?

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}


Write the following interval in Set-Builder form:

(– 3, 0)


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.


If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by 4n


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


If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

a is less than 6 and a ∈ Y


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×