Using Venn Diagrams to Show Conjunctions & Disjunctions

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  • 0:01 A Venn Diagram
  • 1:16 A Conjunction
  • 1:36 A Disjunction
  • 1:57 Examples of Venn Diagrams
  • 2:47 Lesson Summary
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Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

Watch this video lesson to learn how you can use a Venn diagram to show conjunctions and disjunctions. You will see what a conjunction looks like and what a disjunction looks like in a Venn diagram.

A Venn Diagram

Look at this. This is called a Venn diagram. It shows all possible relationships between different sets of data.

Venn diagram

This particular Venn diagram shows the relationships between two different sets of data. If you have three sets of data, then you will have three circles. Where the circles overlap is where the data is similar. So, in this Venn diagram, the middle is where the two sets of data that we have are the same. For example, if we are comparing cats and dogs to each other with a Venn diagram, they would overlap in the middle where they have similarities, such as fur and paws. Where the circles don't overlap will have their differences, such as dogs bark and cats meow.

Venn diagram

It is also possible for Venn diagrams to have a circle within a circle. This is when the smaller circle is a subset of the larger circle. For example, we can have a smaller circle for German shepherds inside a circle for dogs because all German shepherds are dogs, but not all dogs are German shepherds.

Venn diagram

Because the dog's circle completely overlaps the German shepherds circle, we see that German shepherds share all the characteristics of dogs.

A Conjunction

We call the overlapping spaces of Venn diagrams conjunctions. A conjunction occurs when the data sets are the same. For our dogs and cats Venn diagram, the conjunction is the middle overlapping part. For the dogs and German shepherds Venn diagram, the conjunction is the whole German shepherds circle.

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