Set notation and two-set Venn diagrams
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The teaching part (1 min) is free to watch. A free account opens the whole lecture: 6 practice questions, 1 real past-paper question with the answer explained, the mistakes that lose marks, the full-marks tip, a one-card summary and a quick quiz.
What this lecture covers
- Sorting into groups
- The language of sets
- The symbols
Read the transcript of the teaching part
Last time
Before we start: last time, in Counting with a Venn diagram, you learned these points. Here they are again on one card. Keep them in mind, because today builds on them.
Sorting into groups
Which of your friends play football, which play cricket, and which play both? A set is just a group of things, and a Venn diagram is the picture of the groups. Today you learn the symbols and how to place every number in the right region.
The language of sets
A set is a collection of things, called elements, written inside curly brackets. The symbol that looks like an E means is an element of. Four is an element of A. With a line through it, it means is not an element of. Five is not in A. The universal set, written like a curly E, holds every element we are talking about.
The symbols
A intersection B is the elements in both A and B. It looks like an arch: elements that pass through both. A union B is the elements in A or B or both. Everything, joined together. A dash, called a complement, means everything in the universal set that is not in A. And n of A means the number of elements in A. The empty set has none.
How often it comes up
The whole chapter: Statistical Diagrams.
Chapter 2: Sets
- Set notation and two-set Venn diagrams 5 min
- Three-set Venn diagrams and shading regions 5 min
- Counting with a Venn diagram 5 min
Also for IGCSE Maths 0580
Which topics come up most in IGCSE Maths 0580 past papers, counted from every paper since 2004.