Union of Sets

Operations can be performed on two sets to create a new set. These operations are called union and intersection of sets. When the union of two sets is formed, a new set is formed that contains all the elements found in the first set, all the elements in the second set, and all the elements in common between the two sets. In short, if an element is found in either of the sets, it is found in the union—everything is in the union of two sets. The union of sets is denoted by the symbol $\cup$ .

Examples

By using the sets A, B, C and D from the previous page:

1. $A\cup B=\left\{1,2,3,4\right\}\cup \left\{4,5,6,7\right\}=\left\{1,2,3,4,5,6,7\right\}$

Remember- elements are listed only once in a set.

2. $C\cup D=\left\{4,5\right\}\cup \left\{9\right\}=\left\{4,5,9\right\}$

 

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