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
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.
संबंधित प्रश्न
{a, e} ⊂ {x : x is a vowel in the English alphabet}
Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?
{3, 4} ⊂ A
Write down all the subsets of the following set:
{a}
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, 0 ≤ x < 7}
Write the given intervals in set-builder form:
(–3, 0)
Write the given intervals in set-builder form:
[6, 12]
Write the following interval 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
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
Write the number of elements in the power set of null set.
Let A = {x : x ∈ N, x is a multiple of 3} and B = {x : x ∈ N and x is a multiple of 5}. Write \[A \cap B\]
If A and B are two sets such that \[A \subset B\], then write B' − A' in terms of A and 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 triangle in a plane} _____ {x : x is a rectangle in the 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?
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
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 A of N, whose element are odd numbers.
State true or false for the following statement given below:
Let R and S be the sets defined as follows:
R = {x ∈ Z | x is divisible by 2}
S = {y ∈ Z | y is divisible by 3}
then R ∩ S = φ
Given that N = {1, 2, 3, ... , 100}. Then write the subset of N whose elements are even numbers.
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
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.
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.
