MathDB

subset A of real, if a \n A then 1/a and 1-a \in A, also 0,1 \not in A

Source: Tuymaada 1996 p2

April 27, 2019

algebraset theorySetsReal

Problem Statement

Given a finite set of real numbers

A

, not containing

0

and

1

and possessing the property: if the number a belongs to

A

, then numbers

\frac{1}{a}

and

1-a

also belong to

A

. How many numbers are in the set

A