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# Union of two sets

The union of two sets $A$ and $B$ is a set that consists of the elements that are either in $A$ or $B$ or in both. The set is written $A\cup B$.

The union of the odd and even numbers is the set of all the integers.

$$\{\Tblue{1},\Tblue{2},\Tblue{3}\}\cup \{\Tgreen{0},\Tgreen{2},\Tgreen{4}\} = \{\Tgreen{0},\Tblue{1},\Tred{2},\Tblue{3},\Tgreen{4}\}$$

$A$ and $B$ are a subset of $A\cup B$.

Union of two sets