English

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

Advertisements
Advertisements

Question

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

1 ⊂ A

Options

  • Incorrect

  • Correct

MCQ
True or False
Advertisements

Solution

This statement is incorrect.

Explanation:

1 is not a set, it is a member of set A.

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - Exercise 1.3 [Page 12]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.3 | Q 3.05 | Page 12

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, b} ⊄ {b, c, a}


{a} ∈ (a, b, c)


Write down all the subsets of the following set:

{a}


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


Write the following interval in set-builder form:

(6, 12]


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


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


If \[A = \left\{ \left( x, y \right) : y = \frac{1}{x}, 0 \neq x \in R \right\}\]and\[B = \left\{ \left( x, y \right) : y = - x, x \in R \right\}\] then write\[A \cap B\]


If A and B are two sets such that \[n \left( A \right) = 115, n \left( B \right) = 326, n \left( A - B \right) = 47,\] then write \[n \left( A \cup B \right)\] 


The number of subsets of a set containing n elements is 


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


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


In set-builder method the null set is represented by


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?

{{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, 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


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


Write the following interval in Set-Builder form:

(– 3, 0)


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 n + 6


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


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


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 ∈ Y but a2 ∉ Y


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


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.

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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×