Advertisements
Advertisements
प्रश्न
Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?
{1, 2, 3} ⊂ A
पर्याय
Incorrect
Correct
Advertisements
उत्तर
This statement is incorrect.
Explanation:
3 is not an element of set A.
∴ {1, 2, 3} is not a subset of set A.
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}
{a, e} ⊂ {x : x is a vowel in the English alphabet}
{a, b} ⊄ {b, c, a}
{a} ⊂ {a. b, c}
How many elements has P(A), if A = Φ?
Write the following as interval:
{x : x ∈ R, – 4 < x ≤ 6}
Write the following as intervals: {x: x ∈ R, –12 < x < –10}
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 = {x : x ∈ N, x is a multiple of 3} and B = {x : x ∈ N and x is a multiple of 5}. Write \[A \cap B\]
Let A and B be two sets having 3 and 6 elements respectively. Write the minimum number of elements that \[A \cup B\]
Let A and B be two sets having 4 and 7 elements respectively. Then write the maximum number of elements that \[A \cup B\] can have.
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,\[A \cap \left( A \cup B \right) =\]
If A = {1, 3, 5, B} and B = {2, 4}, then
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}
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:
{1, 2, 3}
Write down all the subsets of the following set:
Φ
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.
If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n – 1
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 + 1 = 6, 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.
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.
State True or False for the following statement.
The sets {1, 2, 3, 4} and {3, 4, 5, 6} are equal.
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.
