हिंदी

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

Advertisements
Advertisements

प्रश्न

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

{{3, 4}} ⊂ A

विकल्प

  • Incorrect

  • Correct

MCQ
सत्य या असत्य
Advertisements

उत्तर

The statement is correct.

Explanation:

Here, {3, 4} is a member of set A and {{3, 4}} is a subset of A.

{3, 4} ∈ {{3, 4}} and {3, 4} ∈ A.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets - EXERCISE 1.3 [पृष्ठ १२]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
अध्याय 1 Sets
EXERCISE 1.3 | Q 3. (iii) | पृष्ठ १२

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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)


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:

[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 A ⊂ B and B ⊂ C, then A ⊂ C


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


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. 


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 \[n \left( A \cup B \right)\] 


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


Write down all the subsets of the following set:

{a, b}


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:

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


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 4n


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 + 1 = 6, a ∈ 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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×