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This video is going to be an introduction to set-builder notation. So there are basically two ways to write a set. One way is just to list all the elements of the set inside curly braces. So if I have a set with just the four elements, 1, 2, 3, 4, I can write capital A -- we'll call this set A -- capital A equals and then, inside braces, 1, 2, 3, and 4, separated by commas. If I want to have all the numbers starting at 1, all the natural numbers, and continuing infinitely, I could write three dots, what we call an ellipsis, and that would mean I start at 1 and I just count -- if I could -- up to infinity. The other way to write this would be in set-builder notation. So what I'm going to do is write something like this. I'll put in a capital A, that the name of the set, put in the equal sign, the left curly brace, and then I'm gonna pick a letter. Very often the letter will be a lower-case x, but actually it could be any letter you want, typically lower-case though, so we're not conf...
