The middle of a Venn diagram where two or more sets overlap is known as the intersection.

Solution:

1. For the Venn diagram: Step 1: Draw three overlapping circles to represent the three sets.
2. Step 2: Write down the elements in the intersection X ∩ Y ∩ Z.
3. Step 3: Write down the remaining elements in the intersections: X ∩ Y, Y ∩ Z and X ∩ Z.
4. Step 4: Write down the remaining elements in the respective sets.

A Venn diagram may also be called a primary diagram, set diagram or logic diagram. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set.

Venn diagram symbols

• ∪: Union of two sets. A complete Venn diagram represents the union of two sets.
• ∩: Intersection of two sets. The intersection shows what items are shared between categories.
• Ac: Complement of a set. The complement is whatever is not represented in a set.

Intersection The intersection of two sets A and B, written AnB, is the overlap of the two sets. Empty set The empty set, written 0, is the set containing no elements.

Venn diagrams are named after British logician John Venn. He wrote about them in an 1880 paper entitled “On the Diagrammatic and Mechanical Representation of Propositions and Reasonings” in the Philosophical Magazine and Journal of Science.

Sets are represented in a Venn diagram by circles drawn inside a rectangle representing the universal set. The region outside the circle represents the complement of the set. Two circles together represent the union of the two sets.