number line
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All real numbers.
Yes, because all numbers on the number line are real numbers
the set of real numbers
The set of all real numbers usually represented by a capital R that is double vertical line in the left and bold.
When we investigate the real numbers, we often use the concept of the real number line. This line will have a distinct point on it for each real number, and will divided by the number zero. To the right of zero, we'll have the positive real numbers, while on the left of zero, we'll find the negative real numbers. The line will extend to infinity in each direction. These are the foundations for the study of the real numbers. All we need now is the unit length which will allow us to locate the number 1 on the real number line. From there, we're off and running; we can locate any other number we care to find. They're all on the line.