Explain with examples how to convert roaster form to set and builder and set builder to roaster?
Explain with examples how to convert roaster form to set and builder and set builder to roaster?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
Roster Form :
Listing the elements of a set inside a pair of braces { } is called the roster form.
(i) Let A be the set of even natural numbers less than 11.
In roster form we write A = {2, 4, 6, 8, 10}
(ii) A = {x : x is an integer and- 1≤ x < 5}
In roster form we write A = {-1, 0,1, 2, 3, 4}
Let us look into some examples in roster form.
Set Builder Form :
Set-builder notation is a notation for describing a set by indicating the properties that its members must satisfy.
Reading Notation :
‘|’or ‘:’ such that
A = { x : x is a letter in the word dictionary }
We read it as
“A is the set of all x such that x is a letter in the word dictionary”
For example,
(i) N = "x : x is a natural number,
(ii) P = "x : x is a prime number less than 100,
(iii) A = "x : x is a letter in the English alphabet,
Here we are going to see examples on roster form and set builder form.
Roster Form Examples
Example 1 :
List the elements of the following set in Roster form:
The set of all positive integers which are multiples of 7
Solution :
The set of all positive integers which are multiples of 7 in roster form is
{7, 14, 21, 28,...........}
Example 2 :
List the elements of the following set in Roster form:
The set of all prime numbers less than 20.
Solution :
The set of all prime numbers less than 20 in roster form is
{2, 3, 5, 7, 11, 13, 17, 19}
Example 3 :
Write the set A = { x : x is a natural number ≤ 8} in roster form.
Solution :
A = { x : x is a natural number ≤ 8}.
So, the set contains the elements 1, 2, 3, 4, 5, 6, 7, 8.
Hence in roster form A = {1, 2, 3, 4, 5, 6, 7, 8}
Example 4 :
Write the following set in roster form
A = {x : x ∈ N, 2 < x ≤ 10}
Solution :
A = {x : x ∈ N, 2 < x ≤ 10}
Set A will contain elements greater than 2 and less than or equal to 10.
A = { 3, 4, 5, 6, 7, 8, 9, 10}
Example 5 :
Write the following set in roster form
X = {x : x = 2n, n ∈ N and n ≤ 5}
Solution :
X = {x : x = 2n, n ∈ N and n ≤ 5}
Answer:
See in above attachment.
☺️☺️☺️☺️ Hope it will help you✌️✌️✌️