### Video Transcript

𝑋 is the set of odd numbers
greater than eight. Write 𝑋 using the listing
method.

Well, in this question, if we want
to list our set and find each of the elements, then what we’re gonna need to do is
take a look at these two key bits of information. We want the set to be odd numbers,
but they must be greater than eight. Well, we’ve got one problem. The odd numbers greater than eight
is gonna be a lot of numbers. In fact, it’s gonna be ∞
numbers. So our set is gonna have ∞ elements
because it’ll keep going on and on and on. So what are we gonna do?

Well, first of all, what we’re
gonna do is list our first value because the first odd number that’s greater than
eight is nine. And then, what we’re gonna do is
list a couple more values, 11 and 13. But then, instead of having to list
lots and lots and lots of different values or lots of different elements, all we do
is we put three little dots. And this means continued, because,
as we’ve said, there’ll be infinite number of different elements within this
set. So we can say that if 𝑋 is a set
of odd numbers, then 𝑋 can be written as nine, 11, 13, et cetera. And I’ve put that inside of our
curly brackets, which are part of our set notation and tells us that it represents a
set of values.