Lets Talk About Intersections, Unions, and Complements

In this article we will learn about Intersections, unions, and complements.

Ahmad Mizan Nur Haq
Data And Beyond
2 min readNov 25, 2023

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In the realm of mathematics, sets serve as fundamental building blocks for organizing and representing collections of elements. Understanding the relationships and connections between sets is crucial for comprehending various mathematical concepts and applications. Among these relationships, intersections, unions, and complements stand out as essential tools for manipulating and analyzing sets.

What are Intersections?

An intersection represents the set of elements that are common to two or more sets. It’s the overlap of sets, the shared space where elements belong to multiple sets simultaneously.

Imagine Venn diagrams, those colorful circles that intersect to represent overlapping sets. The intersection is the region where the circles overlap, symbolizing the elements that reside in both sets.

Understanding Unions

A union, on the other hand, represents the set of elements that belong to at least one of the sets. It’s the inclusive combination, the collection of all elements that exist in either or both of the sets.

Think of it as the combined area of two Venn diagrams, encompassing all elements that fall within either circle “The union of fries and ice cream is the set of all elements that are in either fries or ice cream, or both.”, including those in the overlapping region.

What are Complements?

The complement of a set represents the set of elements that are not in the original set. It’s the excluded region, the collection of elements that lie outside the boundaries of the set. Imagine the opposite of Venn diagrams, where the complement is the area outside the circle, representing the elements that don’t belong to the set.

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