Set Notation & Venn Diagrams

Set notation, union, intersection and complement, Venn diagrams with two and three sets, and using them to solve problems.

Sets and notation

A set is a collection of objects (its elements). Cambridge uses this notation:

Symbol	Meaning
$\xi$	the universal set (everything under consideration)
$A \cup B$	union — elements in $A$ or $B$ (or both)
$A \cap B$	intersection — elements in both $A$ and $B$
$A'$	complement — elements not in $A$
$a \in A$	$a$ is an element of $A$
$b \notin A$	$b$ is not an element of $A$
$\varnothing$	the empty set
$A \subseteq B$	$A$ is a subset of $B$
$n(A)$	the number of elements in $A$

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