Let and , where denotes the greatest integer function. Then the number of ordered…

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

Let

\max\{|x+y|,|x-y|\}=1

and

y=x-[x]

, where

[x]

denotes the greatest integer function. Then the number of ordered pairs

(x,y)

is (1) 6 (2) 8 (3) 0 (4)

\infty