Advertisements
Advertisements
प्रश्न
Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?
{Φ} ⊂ A
विकल्प
Incorrect
Correct
Advertisements
उत्तर
This statement is incorrect.
Explanation:
{Φ} is not a subset of set A.
APPEARS IN
संबंधित प्रश्न
{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
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:
(–3, 0)
Write the given intervals 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
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
If A = {x ∈ C : x2 = 1} and B = {x ∈ C : x4 = 1}, then write A − B and B − A.
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\[A \cap B\]
If A and B are two sets such that \[n \left( A \right) = 20, n \left( B \right) = 25\]\text{ and } \[n \left( A \cup B \right) = 40\], then write \[n \left( A \cap B \right)\]
The number of subsets of a set containing n elements is
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 an equilateral triangle in a plane} _____ {x : x is a triangle in the same 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?
{{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:
{a, b}
Given that N = {1, 2, 3, ..., 100}, then write the subset B of N, whose element are represented by x + 2, where x ∈ N.
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 X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n + 6
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 + 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.
If A is any set, then A ⊂ A.
