Advertisements
Advertisements
प्रश्न
If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n + 6
Advertisements
उत्तर
Given that: X = {1, 2, 3}
{n + 6 | n ∈ X} = {7, 8, 9}
APPEARS IN
संबंधित प्रश्न
{a, e} ⊂ {x : x is a vowel in the English alphabet}
{1, 2, 3} ⊂ {1, 3, 5}
{a} ⊂ {a. b, c}
Write the following as interval:
{x : x ∈ R, – 4 < x ≤ 6}
Write the following as intervals: {x: x ∈ R, –12 < x < –10}
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 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 A ⊂ B and x ∉ B, then x ∉ A
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 = {x ∈ C : x2 = 1} and B = {x ∈ C : x4 = 1}, then write A − B and B − A.
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 = |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 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 a triangle in a plane} _____ {x : x is a rectangle in the plane}
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
Write down all the subsets of the following set:
{a, b}
Write down all the subsets of the following set:
{1, 2, 3}
Write down all the subsets of the following set:
Φ
Write the following interval in Set-Builder form:
(– 3, 0)
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/2`
Suppose A1, A2, ..., A30 are thirty sets each having 5 elements and B1, B2, ..., Bn are n sets each with 3 elements, let \[\bigcup\limits_{i=1}^{30} A_{i} = \bigcup\limits_{j=1}^{n} B_{j}\] = and each element of S belongs to exactly 10 of the Ai’s and exactly 9 of the B,’S. then n is equal to ______.
If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then ______.
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.
