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Course: Mathematics — First Preparatory
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Curriculum

Mathematics — First Preparatory

Unit 1: Numbers

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Unit 2: Algebra

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Unit 3: Statistics

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Unit 4: Geometry

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Text lesson

Sets and Operations on Sets

Mathematics — First Preparatory

Sets and Operations on Sets

What is a set and how to write it

What is a set and how to write it

  • A set is a collection of well-defined objects or numbers.
  • Each object in the set is called an element.
  • Sets are usually named with capital letters such as A, and their elements are written between braces { }.
  • There are three ways to write a set:
Comparison aspectMain ideaExampleKeywords
Roster methodlist all the elementsA = {1listelementsexample
Descriptive (set-builder) methoddescribe the property the elements share
  • A = {x : x is an integer
  • 0 < x ≤ 4}
describepropertyelementsshare
Venn diagramdraw a circle or a rectangle and place the elements inside. This is useful for operations—drawcirclerectangleplace
•
  • The order of the elements and their repetition do not matter. The set {1
  • 3} is the same as the set {3
—orderelementsrepetitionmatter
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