Question

1) So sánh A và B biết rằng:( không tính)

A = 2018 + 2019

       2019    2020

B = 2018 + 2019

      2019 + 2020

       Cần gấp! Mọi người giúp mình với!

Answer 1

ta có: \(\frac{2018}{2019}>\frac{2018}{2019+2020};\frac{2019}{2020}>\frac{2019}{2019+2020}.\)

\(\Rightarrow A=\frac{2018}{2019}+\frac{2019}{2020}>\frac{2018}{2019+2020}+\frac{2019}{2019+2020}=\frac{2018+2019}{2019+2020}=B\)

....

Answer 2

  Vì \(\frac{2018}{2019}\)< 1\(\Rightarrow\)\(\frac{2018}{2019}\)>\(\frac{2018}{2019+2020}\)

  Vì\(\frac{2019}{2020}\)< 1\(\Rightarrow\)\(\frac{2019}{2020}\)>\(\frac{2019}{2019+2020}\)

\(\Rightarrow\)\(\frac{2018}{2019}\)+\(\frac{2019}{2020}\)>\(\frac{2018}{2019+2020}\)+\(\frac{2019}{2019+2020}\)=\(\frac{2018+2019}{2019+2020}\)

\(\Rightarrow\)A>B