It belongs to any set that contains it!
For example, {-1.576},
or {45, sqrt(2), pi, -3/7, -1.576},
or numbers between -43 and 53,
or rational numbers,
or real numbers,
or negative rational numbers, etc
One set in particular that includes -1.576 is the set of rational numbers (ℚ).
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The rational numbers, the real numbers and sets of higher order which contain the reals such as the complex numbers.
You can, of course, make up infinitely many sets that contain this number. Some important sets that include it are:The set of integers.The set of rational numbers.The set of real numbers.The set of complex numbers.
The derived set of a set of rational numbers is the set of all limit points of the original set. In other words, it includes all real numbers that can be approached arbitrarily closely by elements of the set. Since the rational numbers are dense in the real numbers, the derived set of a set of rational numbers is the set of all real numbers.
It is the set of Real numbers.
define or describe each set of real numbers?