Intersection and Union
Main Concept

Given two intervals, the two major relations between them are their union and their intersection.
The union of two sets or intervals, $A$ and $B$, is the set of elements which are in either set. This is denoted as $A\bigcup B$.
The intersection of the two intervals, is the set of elements which are in both set. This is denoted as $A\bigcap B$.



Click or drag to place two intervals on the number line. Choose whether to include, exclude, or set your end points to $\mathit{\pm}\mathit{\infty}$. Use the check boxes on the right to show the two intervals, their union, and their intersection.

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Interval A

Left End Point:

Right End Point:

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Interval B

Left End Point:

Right End Point:

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