Union And Intersection Of Sets Examples

We use and for intersection and or for union let s look at some more examples of the union of two sets.

Union and intersection of sets examples. It is denoted by x y and is read x intersection y. Union and intersection of sets summary union and intersection of sets. The following table gives some properties of union of sets. Union of sets.

The intersection of a and b written a b 3. Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20. To make it easy notice that what they have in common is in bold. Commutative associative identity and distributive.

Next we illustrate with examples. Now let s think about union. It is denoted by a b and is read a union b. These include hat shirt jacket pants and so on.

In our first example a b 0 1. Scroll down the page for more examples. We could say set c is the intersection of a and b and it s this set right over here. Shade elements which are in p or in q or in both.

And we could even if we want to we could even label this as a new set. This is the intersection of sets s and v minus set t s. More lessons on sets venn diagrams intersection of three sets in this lesson we will learn how to use venn diagrams to illustrate the intersection of two sets. We can think of the union of two sets as the entire venn diagram.

In that case we say the answer is the. This is called a union of sets and has the special symbol. Now the union of a and b written a b 1 2 3 4 5. There is no need to list the 3 twice.

Draw and label a venn diagram to show the union of p and q. The intersection of two sets is the set of elements which are in both sets. Sal shows examples of intersection and union of sets and introduces some set notation. Basically we find a b by looking for all the elements a and b have in common.

Let a 1 2 3 and b 3 4 5. A set is a collection of things. Union of sets. For example the items you wear is a set.

In terms of set theory union is the set of all the elements that are in either set or in both whereas intersection is the set of all distinct. We write a b. Summary of union vs. A union is often thought of as a marriage.

Here are some useful rules and definitions for working with sets. The set of 4 and 12 is the intersection of sets a and b. Given two sets a and b the intersection is the set that contains elements or objects that belong to a and to b at the same time. The intersection of two sets x and y is the set of elements that are common to both set x and set y.

Sometimes there will be no intersection at all.