Giải thích các bước giải:
quy đồng 2 phân số ta đc
a/b=a(b+2001)/b(b+2001)=ab+2001a/b(b+2001)
a+2001/b+2001=b(a+2001)/b(b+2001)=ab+2001b/b(b+2001)
Ta chia thành 3 TH
-TH1:a=b=>2001a=2001b
=>ab+2001a/b(b+2001)=ab+2001b/b(b+2001)
=>a/b=a+2001/b+2001
-TH2:a>b=>2001a>2001b
=>ab+2001a/b(b+2001)>b+2001b/b(b+2001)
=>a/b>a+2001/b+2001
-TH3:a<b=>2001a<2001b
=>ab+2001a/b(b+2001)<ab+2001b/b(b+2001)
=>a/b<a+2001/b+2001
