Chứng minh rằng a) \( - \frac{{2023}}{{2024}} > - \frac{{2024}}{{2023}};\) b) \(\frac{{34}}{{11}} > \frac{{26}}{9}.\)

a) Ta có \( - \frac{{2023}}{{2024}} > - 1\) và \( - 1 > - \frac{{2024}}{{2023}},\) suy ra \( - \frac{{2023}}{{2024}} > - \frac{{2024}}{{2023}}.\)

b) Ta có \(\frac{{34}}{{11}} > \frac{{33}}{{11}} = 3\) và \(3 = \frac{{27}}{9} > \frac{{26}}{9},\) suy ra \(\frac{{34}}{{11}} > \frac{{26}}{9}.\)