# Roster, Builder Method

__NOTATIONS FOR A SET:__
A set can be represented by two methods:

- ROSTER METHOD
- BUILDER METHOD

__ROSTER METHOD:__
In this method the elements of a set are separated by commas and are enclosed within
curly brackets { }. For example:

A = {1, 2, 3, 4, 5, 6} is a set of numbers.

B = {Sunny, Joy, Kartik, Harish, Girish} is a set of names.

C = {a, e, i, o, u} is a set of vowels.

D = {apple, banana, guava, orange, pear} is a set of fruits.

A = {1, 2, 3, 4, 5, 6} is a set of numbers.

B = {Sunny, Joy, Kartik, Harish, Girish} is a set of names.

C = {a, e, i, o, u} is a set of vowels.

D = {apple, banana, guava, orange, pear} is a set of fruits.

Listing the elements in this way is called

**Roster method**. In this method, it is not necessary for the elements to be listed in a particular order. The elements of the set can be written just plainly, separated by commas and in any order.

__BUILDER METHOD:__
This method is also called

**Property method**. In**Builder method**, a set is represented by stating all the properties which are satisfied by the elements of that particular set only.
For example:

If A is a set of elements less than 0, then in Builder method it will be written as

A = {x: x < 0}, this statement is read as "the set of all x such that x is less than 0"

If A is a set of all real numbers less than 7, then in Builder method it is written as A = {x R: x < 7}

Similarly,

A = {2i: i is an integer} is a set of all even integers.

A = {x R: x ≠ 2} is a set of all real numbers except 2.

A = {x R: x > 3 and x < 7} is a set of real numbers greater than 3 but less than 7.

A = {x Z: x > 6} is a set of integers greater than 6.

A = {x Z: 2x + 1} is a set of all odd integers.

If A is a set of elements less than 0, then in Builder method it will be written as

A = {x: x < 0}, this statement is read as "the set of all x such that x is less than 0"

If A is a set of all real numbers less than 7, then in Builder method it is written as A = {x R: x < 7}

Similarly,

A = {2i: i is an integer} is a set of all even integers.

A = {x R: x ≠ 2} is a set of all real numbers except 2.

A = {x R: x > 3 and x < 7} is a set of real numbers greater than 3 but less than 7.

A = {x Z: x > 6} is a set of integers greater than 6.

A = {x Z: 2x + 1} is a set of all odd integers.

**Online Roster, Builder Method Help:**

If you are stuck with a Roster, Builder Method Homework problem and need help, we
have excellent tutors who can provide you with Homework Help. Our tutors who provide
Set Roster, Builder Method help are highly qualified. Our tutors have many years
of industry experience and have had years of experience providing Set Roster, Builder
Method Homework Help. Please do send us the Set Roster, Builder Method problems
on which you need Help and we will forward then to our tutors for review.

**Online Tutor Set Roster, Builder Method:**

We have the best tutors in math in the industry. Our tutors can break down a complex
Set Roster, Builder Method problem into its sub parts and explain to you in detail
how each step is performed. This approach of breaking down a problem has been appreciated
by majority of our students for learning Set Roster, Builder Method

**concepts**. You will get one-to-one personalized attention through our online tutoring which will make learning fun and easy. Our tutors are highly qualified and hold advanced degrees. Please do send us a request for Set Roster, Builder Method tutoring and experience the quality yourself.