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Figure \(\PageIndex{6}\) compares graphs, inequality notation, set-builder notation, and interval notation. Figure \(\PageIndex{6}\): Summary of notations for inequalities, set-builder, and interval. If we wish to describe a set of numbers that consists of two or more intervals, we can use \(\cup\) to represent the union of the two sets.
Two sets are equal if they contain all of the same elements. Repeated elements make no difference in a set. A = \ {1,1,1,1\} A = {1,1,1,1} is equal to B = \ {1\} B = {1}. In fact, sets are generally not written to include repeated elements. A and C B and A B and D C and B D and E E and A None are equivalent.
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So let's put a 14. We haven't put a 15 yet. We haven't put the 6 yet. And we already have a 3 in our set. So there you go. You have the union of X and Y. And one way to visualize sets and visualize intersections and unions and more complicated things, is using a Venn diagram. So let's say this whole box is-- you could view that as the set of ...
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