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

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}


{1, 2, 3} ⊂ {1, 3, 5}


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


Write down all the subsets of the following set:

{a}


How many elements has P(A), if A = Φ?


Write the given intervals in set-builder form:

(–3, 0)


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 A ⊂ B and x ∉ B, then x ∉ A


Write the number of elements in the power set of null 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 \[A \cap B\] 


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 \[A = \left\{ \left( x, y \right) : y = e^x , x \in R \right\} and B = \left\{ \left( x, y \right) : y = e^{- x} , x \in R \right\}\]write\[A \cap B\] 


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 \[n \left( A \cap B \right)\] 


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, 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:

{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}


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?

{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?

{1, 2, 5} ⊂ 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}


Given that N = {1, 2, 3, ..., 100}, then write the subset A of N, whose element are odd 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 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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×