Advertisements
Advertisements
प्रश्न
If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then ______.
पर्याय
X ⊂ Y
Y ⊂ X
X = Y
X ∩ Y = Φ
उत्तर
If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then X ⊂ Y.
Explanation:
Given that, X = {8n – 7n – 1 | n ∈ N}
= {0, 49, 490, ...}
And Y = {49n – 49 | n ∈ N}
= {0, 49, 98, ...}
Here, it is clear that every element belonging to X is also present in Y.
∴ X ⊂ Y.
APPEARS IN
संबंधित प्रश्न
{a, e} ⊂ {x : x is a vowel in the English alphabet}
{a, b} ⊄ {b, c, a}
{1, 2, 3} ⊂ {1, 3, 5}
How many elements has P(A), if A = Φ?
Write the following as intervals: {x : x ∈ R, 3 ≤ x ≤ 4}
Write the given intervals in set-builder form:
(–3, 0)
Write the following interval 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 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
Let A and B be two sets having 3 and 6 elements respectively. Write the minimum number of elements that \[A \cup B\]
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:
{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 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?
{{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}
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.
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 + 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.
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.
