Roster Form:
M={ 0, 1, 2, 3} Set-Builder Notation:
M={m|m is an integer,- 1
Practice makes perfect
A set of numbers in roster form lists all elements belonging to the set. In set-builder notation, however, all of the elements in a set can be described using a logical statement.
Roster Form
This form requires us to list all the integers that are greater than - 1 and less than 4. We start with 0, the first integer larger than - 1, and count all integers less than 4.
0, 1, 2, 3
We can now write the roster form of set M.
M={ 0, 1, 2, 3 }
Set-Builder Notation
Often, it is more compact and easier to understand a set of numbers if they are listed in set-builder notation instead. We will use the variable m and a logical statement to describe the elements of set M.
M = { m|m is an integer,- 1 < m < 4 }
