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Answer 1

the set is a {1/3, 2/3, 1, 4/3, ...} infinite set and {1/3, 2/3, 1, 4/3, ...} all numbers are subsets of the real numbers.

In mathematics, a real number is a continuous quantity value that can represent a distance along a line. The adjective real number in this context was introduced by Rene Descartes in the 17th century. Rene Descartes distinguished between real and imaginary roots of polynomials.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions (1/2, 2.5), and irrational numbers such as √3 and π(22/7) are all real numbers.

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