Đáp án:
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)`