Graph the set
The graph of the given set is,
If , then the open interval from a to b consists of all numbers between a and b and is denoted by . The closed interval from a to b includes the endpoints and is denoted by . If points are included in the interval, they are represented by dark circles and if the points are not included in the interval, they are represented by hollow circles on the number line.
Using the set-builder form, we can write the intervals as inequality:
If S and T are set, then their union is the set that consists of all elements that are in S or T (or in both).
We will graph all three intervals:
It includes all the numbers between -4 and 6, including -4.
It includes all the numbers between 0 and 8, including 0.
It includes all the numbers between -4 and 8, including -4.
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