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Relations and Functions — Part 1: Types of relations

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Lesson

Relations and Functions, Part 1: Relations

Who shares a room with whom? A relation records which pairs are linked.

In this lesson you will

  • Describe a relation on a set as a set of ordered pairs
  • Recognise empty, universal and identity relations
  • Test a relation for the reflexive, symmetric and transitive properties
  • Prove that a relation is an equivalence relation
  • Find equivalence classes and count relations on small sets
"Stays in the same room as" pairs up students: a relation.
RoomStudents
1Aman, Bina
2Chetan, Diya, Esha
3Farhan