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प्रश्न
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}
उत्तर
{x : x is a triangle in a plane} ⊄ {x : x is a rectangle in the plane}
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}
{x : x is an even natural number less than 6} ⊂ {x : x is a natural number which divides 36}
Write down all the subsets of the following set:
{a}
Write the following as intervals: {x: x ∈ R, –12 < x < –10}
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:
[–23, 5)
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
Write the number of elements in the power set of null set.
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 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?
1 ∈ 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}
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.
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 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 X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by `n/2`
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
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.
