For α in R let ⌊α⌋ denotes greatest integer less than or equal to α

Q. For  α in R  let ⌊α⌋ denotes greatest integer less than or equal to α. Solution : Given function  d:R×R→[0, ∞] defined as  d(x,y)=⌊|x-y|⌋ For the option (1) Suppose d(x,y)=0=> ⌊|x-y|⌋=0=>0≤|x-y|<1 ⇏x=y For example x =0, y =0.5 then…

This Question has been answered. 

Please Subscribe to See Answer or To Get Homework Help