# Venn Diagrams | What Are They and How Do They Work?

## Venn Diagrams

Hi, and welcome to this video lesson on Venn diagrams. Venn diagrams are super helpful, because they help us understand the relationships between large groups or sets of different things. Venn diagrams were developed during the 1702 and have been used more and more ever since.

Here’s how they work. Imagine we have a set of things called “A”. Set A has a lot of different fonts for the letter A (go figure, right?). Some of those fonts can be used on the letter B. Imagine there is a set B, as well. Set B contains a bunch of fonts for the letter B.

As you can imagine, there are many fans that can be used both on the letters A and B. What do you do about them? Well, our Venn diagram provides an option. We can make set A and set B overlap, creating a third set within both of them. Let’s try a more practical example.

Imagine set A is set of numbers between 1 and 20 divisible by 2. That includes 2, 4, 6, etc. Now, imagine another set exists. All the numbers between 1 and 20 divisible by 3. That’s set B. What do we do about those numbers between 1 and 20 that are divisible by both 2 and 3?

Well, let’s diagram it. We can see that by overlapping sets A and B, we create a third set that is part of both. We can see that by overlapping sets A and B we create a whole new third subset. Venn diagrams are really helpful for helping us understand how sets interact with one another, and there’s no limit to how many sets can interact.

Take for example, this. This is a Venn diagram of four different sets. They all interact, and they create nine new subsets. Crazy, right? I hope that helps. Thanks so much for watching this video lesson. Until next time. Happy study.

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by Mometrix Test Preparation | Last Updated: August 15, 2019