Video Transcript
Using the listing method, express the set of the days of the week.
We know that in maths, a set is a group. It’s a group of things, of numbers, of objects, of names. It’s a number of things that can be grouped together. And here, we’re thinking about a set of the days of the week. Now, the first important thing we can say about this set is that it contains seven elements. Of course, this is because there are seven days of the week. Saturday, Sunday, Monday, Tuesday, Wednesday, Thursday, and Friday, seven days of the week, seven elements in the set.
Now, although we’ve just shown that we know what the days of the week are, this doesn’t answer the question because we’re told to use the listing method to express the set of the days of the week. What is the listing method? Well, when we express a set using the listing method, we start by drawing a pair of braces, one at the start and one at the end. Then, each element is listed inside the braces with commas in between to separate them. So let’s use this method now to record the set of the days of the week.
We’ll start by drawing our opening braces. And now, we’ll write each element of the set, in other words, each day of the week, making sure to put commas in between each one. And as we’ve said already, we know that they’re going to be seven different elements because there are seven days of the week. And now that we’ve written all the elements of the set, we draw the closing brace to close off the set.
We’ve used the listing method to express the set of the days of the week. We’ve drawn a pair of braces and in between them we’ve listed the days of the week, Saturday, Sunday, Monday, Tuesday, Wednesday, Thursday, Friday.