हिंदी

If a and B Are Two Sets Such that a ⊂ B , Then Write B' − A' in Terms of a and B. - Mathematics

Advertisements
Advertisements

प्रश्न

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

उत्तर

`B^'-A^'="Not B"-"Not A"`
\[ = \text{ Nothing common in them }\]
\[ = \varnothing\]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets - Exercise 1.09 [पृष्ठ ४९]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.09 | Q 6 | पृष्ठ ४९

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}


{a, b} ⊄ {b, c, a}


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


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 = {x : x ∈ Nx is a multiple of 3} and B = {x : x ∈ N and x is a multiple of 5}. Write \[A \cap B\] 


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


The number of subsets of a set containing n elements is 


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


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


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?

{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


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 A of N, whose element are odd numbers.


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


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 ______.


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×