Question

What is the difference of set-builder and roster form?

Answer 1

roster form is a list of the elements in set brackets.

Answer 2

roster form is a list of elements in set brackets

example: \(\{1,2,3,4,5,6\}\)

the same set in set builder notation \(\{n\in \mathbb{N} \ | \ n\le 6\}\)

Answer 3

roster form is best for finite sets, or infinite sets that differ discretely.

example \(\{2,4,6,8,10,.......\}\)

but trying to list all the real numbers in roster notation would, of course, be impossible.