Question

How do you write the set in roster form? In set builder notation? D is the set of whole numbers less than 3.

Answer 1

Roster is listing every element.
Set builder is showing a rule that must be followed to obtain the elements of the set.

Answer 2

huh ??

Answer 3

Let's say I want a set, named set A, that contains only these numbers: 1, 2, 3, 4, 5, 6, 7, 8
Roster notation is to list them all: A = {1, 2, 3, 4, 5, 6, 7, 8}
Set builder notation is to describe how you figure out what the elements of the set are without having to list them all. For the same set A, you would write
A = {x| x is a whole number and 0 < x < 9}
The | symbol is read "such that"

Answer 4

D = {0,1,2}; D = {x | x is a whole number, x < 3} would this be it

Answer 5

The advantage of set builder notation over roster is when you have a set with many elements. If you want to show a set with all whole number less than 100, it is more practical to write {x | x is a whole number and x < 100} that to write a set containing every whole number under 100, all 100 of them.

Answer 6

Exactly. You got it!

Answer 7

Thanks

Answer 8

You're welcome.