Question

Chứng minh rằng:

a) \( - \frac{{2023}}{{2024}} >  - \frac{{2024}}{{2023}};\)

b) \(\frac{{34}}{{11}} > \frac{{26}}{9}.\)

Answer 1

a) \( - \frac{{2023}}{{2024}} >  - \frac{{2024}}{{2023}};\)

Ta có \( - \frac{{2023}}{{2024}} >  - \frac{{2024}}{{2024}}\) hay \( - \frac{{2023}}{{2024}} >  - 1\)

\( - \frac{{2024}}{{2024}} >  - \frac{{2024}}{{2023}}\) hay \( - 1 >  - \frac{{2024}}{{2023}}\)

Suy ra \( - \frac{{2023}}{{2024}} >  - \frac{{2024}}{{2023}}.\)

b) \(\frac{{34}}{{11}} > \frac{{26}}{9}.\)

Ta có \(\frac{{34}}{{11}} > \frac{{33}}{{11}}\) hay \(\frac{{34}}{{11}} > 3\)

\(\frac{{27}}{9} > \frac{{26}}{9}\) hay \(3 > \frac{{26}}{9}\)

Suy ra \(\frac{{34}}{{11}} > \frac{{26}}{9}.\)