A level Maths Set Notation

Question	Answer
$\in$	is an element of
$\notin$	is not an element of
⊆	is a subset of
⊂	is a proper subset of
{ $x_1$ , $x_2$ , ...}	the set with elements $x_1$ , $x_2$ , ...
{ $x$ : ...}	the set of all $x$ such that
$n$ ( $A$ )	the number of elements in set $A$
$\emptyset$	the empty set
ε	the universal set
$A^ ′$	the complement of the set $A$
$N$	the set of natural numbers, {1, 2, 3, ...}
$Z$	the set of integers {0, $\pm1$ , $\pm2$ , $\pm3$ ...}
$Z^+$	the set of positive integers, {1,2,3, ... }
$Z^+_0$	the set of non-negative integers, {0, 1, 2, 3, …}
$R$	the set of real numbers
$Q$	the set of rational numbers, Image: b82b5f06-9d1d-4269-a6b8-a1e79dffa631 (image/jpg)
$\cup$	union
$\cap$	intersection
( $x$ , $y$ )	the ordered pair $x$ , $y$
[ $a$ , $b$ ]	the closed interval { $x$ $\in$ $R$ : $a$ $\leq$ $x$ $\leq$ $b$ }
[ $a$ , $b$ )	the interval { $x$ $\in$ $R$ : $a$ $\leq$ $x$ < $b$ }
( $a$ , $b$ ]	the closed interval { $x$ $\in$ $R$ : $a$ < $x$ $\leq$ $b$ }
( $a$ , $b$ )	the open interval { $x$ $\in$ $R$ : $a$ < $x$ < $b$ }

Resource summary

	Created by Andreas Spitz over 8 years ago