Advertisements
Advertisements
प्रश्न
Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?
1 ∈ A
विकल्प
Incorrect
Correct
Advertisements
उत्तर
This statement is correct.
Explanation:
1 is an element of set A.
APPEARS IN
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}
{1, 2, 3} ⊂ {1, 3, 5}
{a} ∈ (a, b, c)
{x : x is an even natural number less than 6} ⊂ {x : x is a natural number which divides 36}
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, 0 ≤ x < 7}
Write the following as intervals: {x : x ∈ R, 3 ≤ x ≤ 4}
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 x ∈ A and A ⊄ B, then x ∈ 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\[A \cap B\]
If \[A = \left\{ \left( x, y \right) : y = e^x , x \in R \right\} and B = \left\{ \left( x, y \right) : y = e^{- x} , x \in R \right\}\]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 \[n \left( A \cap B \right)\]
In set-builder method the null set is represented by
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 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?
{1, 2, 3} ⊂ 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}
Write down all the subsets of the following set:
Φ
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:
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.
Given that N = {1, 2, 3, ... , 100}. Then write the subset of N whose element are perfect square numbers.
If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n – 1
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.
The sets {1, 2, 3, 4} and {3, 4, 5, 6} are equal.
