Sets and Set Operations: Lesson
Lesson 1 of 1
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A bibliophile could own a collection of books, and a music lover may own a collection of CDs. Any collection of unique items can form a set. The objects that make up a set could be anything: movi…
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Let us start with the simplest examples of sets. * The empty set (or the null set), is what it sounds like, the set with no elements. We usually denote it by ∅ or by { }. * The number of e…
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The complement of a set A - denoted A’ or A c - is the set of all elements in the universal set U that are not in A. If the Universal set is W - the set of all whole numbers - and E is the set o…
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#### Intersection The intersection of two sets A and B is the set containing all the elements that A and B have in common. It is represented as A ⋂ B. If the two sets have nothing in common, the…
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Venn diagrams are visual representations of sets. A rectangle represents the Universal set, U. Each set is represented by a circle or ellipse inside this rectangle. The circles can show the relatio…
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The operations on sets satisfy many identities. We will look at some important ones. Note the close similarity between these properties and their corresponding properties for addition and multiplic…
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Set theory is used as a foundation for many subfields of mathematics and computer science. Let us explore two areas. #### Sets in Data science A dataset is a collection of numbers or values th…
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Here’s a summary of what we’ve learned: * A set is denoted by a capital letter and is represented by listing all its unique elements inside curly braces. * A subset is formed by taking parts…

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