Sets

A set is simply a well-defined collection of things - like a shopping basket that only holds fruit, nothing else. This topic covers set notation, Venn diagrams, and how to combine and compare sets.

  • Set notation and types of sets
  • Venn diagrams
  • Union, intersection and complement

Lessons for Sets

Set Notation and Types of Sets

What is a set?Think of a set as a labelled basket at the market: the basket for tomatoes only holds …

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Venn Diagrams

Drawing sets as picturesA Venn diagram is like two overlapping goat pens sharing a fence: some goats belong to pen …

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Union, Intersection and Complement

Combining setsUnion (A ∪ B): everything in A OR B (put both pens' goats in one big kraal, no repeats).Intersection …

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Exercises for Sets

List and count elements

List the set P = {factors of 12}.Given Q = {multiples of 5 less than 30}, find n(Q).True or false: …

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Draw and read Venn diagrams

ξ = {1..10}, A = {2,4,6,8,10}, B = {1,2,3,4,5}. Draw the Venn diagram and list the elements in each region.From …

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Set operations

ξ = {1,...,12}, C = {even numbers}, D = {multiples of 3}.List C and D.Find C ∩ D.Find C ∪ …

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