English

Write the following interval in set-builder form: [–23, 5)

Advertisements
Advertisements

Question

Write the following interval in set-builder form:

[–23, 5)

Sum
Advertisements

Solution

The interval [-23, 5) can be written in set-builder form as {x : x ∈ R, –23 ≤ x < 5}.

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - EXERCISE 1.3 [Page 13]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 1 Sets
EXERCISE 1.3 | Q 6. (iv) | Page 13

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

{a, e} ⊂ {x : x is a vowel in the English alphabet}


{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}


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

{3, 4} ⊂ A


Write the following as interval:

{x : x ∈ R, – 4 < x ≤ 6}


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


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 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 \[n \left( A \right) = 115, n \left( B \right) = 326, n \left( A - B \right) = 47,\] then write \[n \left( A \cup B \right)\] 


The number of subsets of a set containing n elements is 


If A = {1, 3, 5, B} and B = {2, 4}, then 


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:

{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 even natural number} _____ {x : x is an integer}


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.


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 4n


If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by `n/2`


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 + 1 = 6, a ∈ Y


If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then ______.


State True or False for the following statement.

If A is any set, then A ⊂ A.


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×