Advertisements
Advertisements
प्रश्न
Write the following interval in set-builder form:
(6, 12]
Advertisements
उत्तर
The interval (6, 12] can be written in set-builder form as {x : x ∈ R, 6 < x ≤ 12}.
APPEARS IN
संबंधित प्रश्न
{a, e} ⊂ {x : x is a vowel in the English alphabet}
{a} ∈ (a, b, c)
{x : x is an even natural number less than 6} ⊂ {x : x is a natural number which divides 36}
Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?
{3, 4} ⊂ A
Write the following as intervals: {x: x ∈ R, –12 < x < –10}
Write the following as intervals: {x : x ∈ R, 3 ≤ x ≤ 4}
Write the given intervals 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 x ∈ A and A ⊄ B, then x ∈ B
Write the number of elements in the power set of null set.
Let A and B be two sets having 3 and 6 elements respectively. Write the minimum number of elements that \[A \cup B\]
If A and B are two sets such that \[A \subset B\], then write B' − A' in terms of A and 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 \[n \left( A \cap B \right)\]
The number of subsets of a set containing n elements is
If A = |1, 2, 3, 4, 5|, then the number of proper subsets of A is
In set-builder method the null set is represented by
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 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 ∈ 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:
{1, 2, 3}
Write the following interval in Set-Builder form:
(– 3, 0)
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 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 ∈ Y but a2 ∉ Y
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
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 ______.
State True or False for the following statement.
The sets {1, 2, 3, 4} and {3, 4, 5, 6} are equal.
