MathDB

distance between real x,y by d(x,y) =\sqrt{([x]-[y])^2+(\{x\}-\{y\})^2}

Source: Spanish Mathematical Olympiad 1986 P1

August 2, 2018

distancealgebraset

Problem Statement

Define the distance between real numbers

x

and

y

d(x,y) =\sqrt{([x]-[y])^2+(\{x\}-\{y\})^2}

. Determine (as a union of intervals) the set of real numbers whose distance from

3/2

is less than

202/100