Advertisements
Advertisements
प्रश्न
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.
विकल्प
True
False
उत्तर
This statement is False.
Explanation:
M = {1, 2, 3, 4, 5, 6, 7, 8, 9}
And B = {1, 2, 3, 4, 5, 6, 7, 8, 9}
Since M and B has same elements
∴ M = B
So B ⊄ M
APPEARS IN
संबंधित प्रश्न
{a, b} ⊄ {b, c, a}
Write down all the subsets of the following set:
{a}
Write the following as intervals: {x : x ∈ R, 0 ≤ x < 7}
Write the following interval in set-builder form:
(6, 12]
Decide, among the following sets, which sets are subsets of one and another:
A = {x : x ∈ R and x satisfy x2 – 8x + 12 = 0},
B = {2, 4, 6}, C = {2, 4, 6, 8, …}, D = {6}.
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
If a set contains n elements, then write the number of elements in its power 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 \[A = \left\{ \left( x, y \right) : y = e^x , x \in R \right\} and B = \left\{ \left( x, y \right) : y = e^{- x} , x \in R \right\}\]write\[A \cap B\]
The number of subsets of a set containing n elements is
If A = {1, 3, 5, B} and B = {2, 4}, then
If A = |1, 2, 3, 4, 5|, then the number of proper subsets of A is
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 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 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?
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:
Φ
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 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 + 1 = 6, a ∈ Y
State True or False for the following statement.
If A is any set, then A ⊂ A.
