हिंदी

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 - Mathematics

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is False.

Explanation:

Take A = {1, 2} B = {2, 3}, C = {1, 2, 5}

Now A ⊄ B and B ⊄ C, but A ⊂ C.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets - Miscellaneous Exercise [पृष्ठ २६]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
अध्याय 1 Sets
Miscellaneous Exercise | Q 2.4 | पृष्ठ २६

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


Write the following as interval:

{x : x ∈ R, – 4 < x ≤ 6}


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


Write the given intervals in set-builder form:

[6, 12]


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 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 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 = {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\[A \cap B\]


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:

{a, b, c} _____ {b, c, d}


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

{x : x is a circle in the plane} _____ {x : x is a circle in the same plane with radius 1 unit}


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}


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?

{{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?

{Φ} ⊂ A


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 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.


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


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


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×