हिंदी

Write the following interval in Set-Builder form: (– 3, 0) - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Write the following interval in Set-Builder form:

(– 3, 0)

योग
Advertisements

उत्तर

The interval (-3, 0) can be written in set-builder form as {x : x ∈ R, - 3 < x < 0}.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Sets and Relations - Exercise 5.1 [पृष्ठ ९८]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 5 Sets and Relations
Exercise 5.1 | Q 12. (i) | पृष्ठ ९८

संबंधित प्रश्न

{a, b} ⊄ {b, c, a}


{1, 2, 3} ⊂ {1, 3, 5}


{a} ⊂ {a. b, c}


{x : x is an even natural number less than 6} ⊂ {x : x is a natural number which divides 36}


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:

[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 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


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


If a set contains n elements, then write the number of elements in its power set. 


Write the number of elements in the power set of null set. 


Let A = {x : x ∈ Nx 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 4 and 7 elements respectively. Then write the maximum number of elements that \[A \cup B\] can have. 


The number of subsets of a set containing n elements is 


For any two sets A and B,\[A \cap \left( A \cup B \right) =\]


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?

{1, 2, 5} ∈ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

Φ ⊂ 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:

{1, 2, 3}


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 – 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 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.


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×