Union and intersection are one way of generating new sets from old. Another way of generating new
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X Ã Y = {(x, y): x X, y Y}
A familiar example is the coordinate plane R Ã R which is denoted R2 (figure 1.2). This correspondence between points in the plane and ordered pairs x; y of real numbers is the foundation of analytic geometry. Notice how the order matters. (1, 2) and (2, 1) are different elements of R2.
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