Question

daca x,y < 1 aratati ca xy - 2 supra x + y -3 < 1

Answer 1

Din x <1 si y <1 => xy <1*1=1 si x+y <1+1=2 => xy-2 /x+y -3 <1-2 /2-3=-1 /-1=1 ceea ce trebuia demonstrat, unde x,y∈R si x,y <1 .