## SETS UNION AND INTERSECTION PDF!

We can define the union of a collection of sets, as the set of all distinct A great way of thinking about union and intersection is by using Venn diagrams. Here are some useful rules and definitions for working with sets. Since "union" means "everything in either of the sets", all of each circle is shaded . in the diagram (being the intersection of the input sets) goes into the new set.

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You just have to be careful, OK?

### Sets and Venn Diagrams

Now you can see ALL your ten best friends, neatly sorted into what sport they play or not! And then we can do interesting things like take the whole set and subtract the ones who play Soccer: We write it this way: Complement And there is a special way of saying "everything that is sets union and intersection, and it is called "complement".

We have set X-- Sets union and intersection just draw as circle right over here.

And I could even draw the elements of set X. So you have 3 and 5 and 12 and And then we can draw set Y.

And notice, I drew a little overlapping here because they overlap at 3. But set Y also has the numbers 14, 15, and 6.

## Union and Intersection

And so when we're talking about X intersect Y, we're talking about where the two sets overlap. So we're talking about this region right over sets union and intersection. And the only place that they overlap the way I've drawn it is at the number 3. So this is X intersect Y.

And then X union Y is the combination of these two sets.

So X union Y is literally everything right here that sets union and intersection are combining. Let's do one more example, just so that we make sure we understand intersection and union. So let's say that I have set A.

And set A has the numbers 11, 4, 12, and 7 in it. And I have set B, and it has the numbers 13, 4, 12, 10, and 3 in it.

### Intersection and union of sets

So first of all, let's think about what A-- let me do that in A's color. Let's think about what A intersect B is going to be equal to. Well, it's the things that are in both sets.

So I have 11 here. I don't have an 11 there. What would be the identity element for the addition of whole numbers?

- Properties of Union and Intersection
- Sets and Venn Diagrams
- Union and Intersection
- Difference Between Union and Intersection
- Sets and Venn Diagrams

Sets union and intersection would be the identity element for multiplication of whole numbers? The objects in a set are called elements, which can be anything like numbers, people, cars, states, etc.

Almost anything and any number of elements can be collected together to create a set. In simple terms, set is a collection of any number of unordered elements that can be regarded as a single object as a whole.

It all begins with a binary relation between an object x and a set A.

That is OK, it is just the "Empty Set".