Which of the following sets is a Dedekind cut select all tha

Which of the following sets is a Dedekind cut (select all that apply):

(2/3,)

Solution

Answer is (2/3,)

In mathematics, a Dedekind cut, named after Richard Dedekind, is a partition of therational numbers into two non-empty sets A and B, such that all elements of A are less than all elements of B, and A contains no greatest element. Dedekind cuts are one method of construction of the real numbers.

here B is given set all the elements of B is greater than all the elements of A = [0,2/3) Q